Simplify. (-4 c d^5)^2

Name: Problem 7, Chapter 10: Prealgebra
Uploaded: 2020-07-26T19:56:02-08:00
Duration: 24 s
Channel: Maninder Singh
Description: Simplify. (-4 c d^5)^2

step 1 Now we have to simplify negative 4 c d power 5 whole power 2 Now this is equal to negative 4 who

Question

Simplify. $$\left(-4 c d^{5}\right)^{2}$$

   Simplify.
$$\left(-4 c d^{5}\right)^{2}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 7

Instant Answer

Solved by Expert Maninder Singh

07/26/2020

Step 1

So, $\left(-4 c d^{5}\right)^{2}$ is the same as $(-4 c d^{5}) * (-4 c d^{5})$. Show more…

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Simplify. $$\left(-4 c d^{5}\right)^{2}$$

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Key Concepts

Power of a Product Rule

This rule states that when an expression that is a product of several factors is raised to an exponent, each factor is raised to that exponent individually. It allows one to simplify expressions by distributing the exponent over each term in the product.

Even Exponents and Negative Numbers

When a negative number is raised to an even exponent, the result becomes positive because multiplying an even number of negative factors cancels out the negative signs, leading to a positive outcome.

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