step 1 Hello, so we have a power to a power. We multiply our exponents. So we end up here with p to the

Question

$\left(\frac{w^{3}}{q^{3}}\right)^{2}$

Name: Problem 38, Chapter 5: Elementary Algebra
Uploaded: 2022-02-07T03:23:47-08:00
Duration: 37 s
Channel: Nick Johnson
Description: ((w^3)/(q^3))^2

    $\left(\frac{w^{3}}{q^{3}}\right)^{2}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 38

Instant Answer

Solved by Expert Nick Johnson

02/07/2022

Step 1

In this case, we have: $\left(\frac{w^{3}}{q^{3}}\right)^{2} = \frac{w^{3\cdot 2}}{q^{3\cdot 2}}$ Now, we can simplify the exponents: Show more…

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Key Concepts

Raising a Fraction to a Power

This concept explains that when a fraction is raised to an exponent, both the numerator and the denominator are raised separately to that exponent. This follows the rule (a/b)^n = a^n / b^n, which is essential when simplifying expressions involving fractional bases raised to a power.

Exponent Multiplication Rule

This rule states that when an exponential expression is raised to another exponent, the exponents multiply. In other words, (x^m)^n equals x^(m*n). This property is fundamental for simplifying expressions where a power is raised to an additional power.

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