step 1 All right, guys, for 25, we're going to go ahead and simplify the expression of 3A, B to the neg

Question

$$\left(3 a b^{-1}\right)^{-2}$$

Name: Problem 25, Chapter 5: Algebra for College Students
Uploaded: 2020-04-19T20:16:00-08:00
Duration: 59 s
Channel: Coach Rye
Description: (3 a b^-1)^-2

   $$\left(3 a b^{-1}\right)^{-2}$$

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 5, Problem 25

Instant Answer

Solved by Expert Coach Rye

04/19/2020

Step 1

Step 1: We start with the given expression: $$\left(3 a b^{-1}\right)^{-2}$$ Show more…

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$$\left(3 a b^{-1}\right)^{-2}$$

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Key Concepts

Negative Exponents

The concept of negative exponents is fundamental in algebra and indicates that raising a number or expression to a negative power is equivalent to taking the reciprocal of that number or expression raised to the corresponding positive power. This rule simplifies expressions by converting divisions into multiplications and vice versa.

Exponentiation of a Product

This rule states that when a product of factors is raised to an exponent, each factor in the product is raised to that exponent individually. This principle allows the distribution of the exponent across the factors, facilitating the simplification of complex algebraic expressions.

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