Simplify. (u^6)/((u^3)^2)

Name: Problem 382, Chapter 6: Elementary Algebra
Uploaded: 2021-07-17T02:54:14-08:00
Duration: 37 s
Channel: Sherrie Fenner
Description: Simplify. (u^6)/((u^3)^2)

step 1 U to the 6 over U cubed squared. So U to the 6 multiply 3 times 2 because it's at power to a pow

Question

Simplify. $$\frac{u^{6}}{\left(u^{3}\right)^{2}}$$

   Simplify.
$$\frac{u^{6}}{\left(u^{3}\right)^{2}}$$

Elementary Algebra

Lynn Marecek 2nd Edition

Chapter 6, Problem 382

Instant Answer

Solved by Expert Sherrie Fenner

07/17/2021

Step 1

Since we have a power to a power, we multiply the exponents. So, $(u^{3})^{2}$ becomes $u^{3*2}$ or $u^{6}$. Show more…

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Simplify. $$\frac{u^{6}}{\left(u^{3}\right)^{2}}$$

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Key Concepts

Division of Exponents

This rule is used when dividing terms with the same base; you subtract the exponent in the denominator from the exponent in the numerator. This concept is fundamental in simplifying rational expressions with exponents.

Exponentiation Rules

These rules govern the operations involving exponents, such as multiplication, division, and raising powers to another power. They provide a systematic way to simplify expressions where exponents are involved.

Power of a Power Rule

This rule states that when an exponentiation operation is performed on an already exponentiated term, the exponents should be multiplied. It is crucial when simplifying nested exponents.

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