Simplify. (6 u^2 v^4)^3

Name: Problem 43, Chapter 5: Beginning and Intermediate Algebra
Uploaded: 2021-03-21T15:23:21-08:00
Duration: 1 min 16 s
Channel: Prashansha Kaushik
Description: Simplify. (6 u^2 v^4)^3

step 1 The given expression is 6 multiplied by U to power 2 multiplied by B r. 3 in this question we ha

Question

Simplify. $$\left(6 u^{2} v^{4}\right)^{3}$$

   Simplify. $$\left(6 u^{2} v^{4}\right)^{3}$$

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 5, Problem 43

Instant Answer

Solved by Expert Prashansha Kaushik

03/21/2021

Step 1

So, we can rewrite the expression as follows: $$\left(6 u^{2} v^{4}\right)^{3} = 6^{3} \cdot (u^{2})^{3} \cdot (v^{4})^{3}$$ Show more…

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Simplify. $$\left(6 u^{2} v^{4}\right)^{3}$$

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Key Concepts

Power of a Product Rule

This rule states that when you raise a product of factors to a power, you can raise each factor separately to that power. It is a fundamental concept in algebra that helps in simplifying expressions where multiple terms are multiplied together and then raised to an exponent.

Power of a Power Rule

The power of a power rule is used when an exponent is raised to another exponent. According to this rule, you multiply the exponents, which is essential for simplifying expressions that involve nested exponents.

Simplifying Algebraic Expressions

Simplifying algebraic expressions involves applying various exponent rules to reduce the expression to its simplest form. This process often includes distributing exponents over products and combining like terms, which is a vital skill in algebra.

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