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In the expression x to the nth power, denoted x n, we call n the exponent or power of x, and we call x the base. What is an Exponentiation? I need to plug in the value −3 for every instance of x in the polynomial they've given me, remembering to be careful with my parentheses, the powers, and the "minus" signs: 2(−3)3 − (−3)2 − 4(−3) + 2. Question: What is 9 to the 4th power?

Nine To The Power Of 4

I'll plug in a −2 for every instance of x, and simplify: (−2)5 + 4(−2)4 − 9(−2) + 7. The variable having a power of zero, it will always evaluate to 1, so it's ignored because it doesn't change anything: 7x 0 = 7(1) = 7. If anyone can prove that to me then thankyou. This polynomial has three terms: a second-degree term, a fourth-degree term, and a first-degree term. Degree: 5. leading coefficient: 2. constant: 9. What is 10 to the 4th Power?. Also, this term, though not listed first, is the actual leading term; its coefficient is 7. degree: 4. leading coefficient: 7. What is 9 to the 4th power? | Homework.Study.com. constant: none. Notice also that the powers on the terms started with the largest, being the 2, on the first term, and counted down from there. If you made it this far you must REALLY like exponentiation! The largest power on any variable is the 5 in the first term, which makes this a degree-five polynomial, with 2x 5 being the leading term. The second term is a "first degree" term, or "a term of degree one". Calculating exponents and powers of a number is actually a really simple process once we are familiar with what an exponent or power represents. So you want to know what 10 to the 4th power is do you? So prove n^4 always ends in a 1.

What Is 9 To The 9Th Power

There are a number of ways this can be expressed and the most common ways you'll see 10 to the 4th shown are: - 104. Feel free to share this article with a friend if you think it will help them, or continue on down to find some more examples. AS paper: Prove every prime > 5, when raised to 4th power, ends in 1. There are names for some of the polynomials of higher degrees, but I've never heard of any names being used other than the ones I've listed above. So basically, you'll either see the exponent using superscript (to make it smaller and slightly above the base number) or you'll use the caret symbol (^) to signify the exponent. Calculate Exponentiation. For polynomials, however, the "quad" in "quadratic" is derived from the Latin for "making square".

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To find: Simplify completely the quantity. We really appreciate your support! Polynomial are sums (and differences) of polynomial "terms". Hi, there was this question on my AS maths paper and me and my class cannot agree on how to answer it... it went like this. If there is no number multiplied on the variable portion of a term, then (in a technical sense) the coefficient of that term is 1. Well, it makes it much easier for us to write multiplications and conduct mathematical operations with both large and small numbers when you are working with numbers with a lot of trailing zeroes or a lot of decimal places. The numerical portion of the leading term is the 2, which is the leading coefficient. Step-by-step explanation: Given: quantity 6 times x to the 4th power plus 9 times x to the 2nd power plus 12 times x all over 3 times x. What is 9 to the 9th power. When the terms are written so the powers on the variables go from highest to lowest, this is called being written "in descending order". 10 to the Power of 4. In my exam in a panic I attempted proof by exhaustion but that wont work since there is no range given.

What Is 9 X 10 To The 4Th Power

There is a term that contains no variables; it's the 9 at the end. So the "quad" for degree-two polynomials refers to the four corners of a square, from the geometrical origins of parabolas and early polynomials. Hopefully this article has helped you to understand how and why we use exponentiation and given you the answer you were originally looking for. Answer and Explanation: 9 to the 4th power, or 94, is 6, 561. −32) + 4(16) − (−18) + 7. PLEASE HELP! MATH Simplify completely the quantity 6 times x to the 4th power plus 9 times x to the - Brainly.com. For instance, the area of a room that is 6 meters by 8 meters is 48 m2. The first term has an exponent of 2; the second term has an "understood" exponent of 1 (which customarily is not included); and the last term doesn't have any variable at all, so exponents aren't an issue. Note: If one were to be very technical, one could say that the constant term includes the variable, but that the variable is in the form " x 0 ". If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. Cite, Link, or Reference This Page. Random List of Exponentiation Examples. Polynomials are sums of these "variables and exponents" expressions.

What Is 8 To The 4Th Power

Enter your number and power below and click calculate. Now that you know what 10 to the 4th power is you can continue on your merry way. Here are some examples: To create a polynomial, one takes some terms and adds (and subtracts) them together. What is 8 to the 4th power. This lesson describes powers and roots, shows examples of them, displays the basic properties of powers, and shows the transformation of roots into powers. Here is a typical polynomial: Notice the exponents (that is, the powers) on each of the three terms.

12x over 3x.. On dividing we get,. "Evaluating" a polynomial is the same as evaluating anything else; that is, you take the value(s) you've been given, plug them in for the appropriate variable(s), and simplify to find the resulting value. The exponent is the number of times to multiply 10 by itself, which in this case is 4 times. Nine to the power of 4. The "-nomial" part might come from the Latin for "named", but this isn't certain. ) Because there is no variable in this last term, it's value never changes, so it is called the "constant" term. Or skip the widget and continue with the lesson. Each piece of the polynomial (that is, each part that is being added) is called a "term". The first term in the polynomial, when that polynomial is written in descending order, is also the term with the biggest exponent, and is called the "leading" term. The 6x 2, while written first, is not the "leading" term, because it does not have the highest degree. The exponent on the variable portion of a term tells you the "degree" of that term.

As in, if you multiply a length by a width (of, say, a room) to find the area, the units on the area will be raised to the second power. Content Continues Below. Here are some random calculations for you: The three terms are not written in descending order, I notice. Learn more about this topic: fromChapter 8 / Lesson 3. For instance, the power on the variable x in the leading term in the above polynomial is 2; this means that the leading term is a "second-degree" term, or "a term of degree two". That might sound fancy, but we'll explain this with no jargon! The "poly-" prefix in "polynomial" means "many", from the Greek language. Evaluating Exponents and Powers. When evaluating, always remember to be careful with the "minus" signs! Another word for "power" or "exponent" is "order".

There is no constant term. 2(−27) − (+9) + 12 + 2.

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