step 1 Hello, so here the R to negative fourth is going to push it basically upstairs, and we end up wi

Question

$\left(r^{3}\right)^{5}$

Name: Problem 24, Chapter 5: Elementary Algebra
Uploaded: 2022-02-07T03:02:54-08:00
Duration: 14 s
Channel: Nick Johnson
Description: (r^3)^5

    $\left(r^{3}\right)^{5}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 24

Instant Answer

Solved by Expert Nick Johnson

02/07/2022

Step 1

First, we have $r^3$, which means $r$ multiplied by itself 3 times: $r \cdot r \cdot r$. Show more…

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$\left(r^{3}\right)^{5}$

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Key Concepts

Power of a Power Rule

The power of a power rule states that when an exponentiated term is raised to another exponent, the exponents are multiplied together. This rule simplifies expressions like (a^b)^c to a^(b*c), allowing for more efficient computation and manipulation of exponential expressions.

Exponentiation

Exponentiation is a mathematical operation involving two numbers, the base and the exponent. The exponent indicates how many times the base is multiplied by itself. This concept is fundamental in algebra, enabling the concise representation of repeated multiplication.

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