step 1 Y to the three -fifths is the same thing as the fifth root of y to the third.

Question

$\left(5 y^{7}\right)\left(6 y^{3}\right)$

Name: Problem 14, Chapter 5: Elementary Algebra
Uploaded: 2022-03-03T22:50:51-08:00
Duration: 7 s
Channel: James Kiss
Description: (5 y^7)(6 y^3)

    $\left(5 y^{7}\right)\left(6 y^{3}\right)$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 14

Instant Answer

Solved by Expert James Kiss

03/03/2022

Step 1

First, we can multiply the coefficients (the numbers in front of the variables): $5 \times 6 = 30$. Show more…

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Key Concepts

Multiplication of Monomials

This concept involves multiplying expressions that consist of a numerical coefficient and variables raised to powers. When multiplying monomials, you multiply the coefficients together and apply the laws of exponents to the variables with the same base, which streamlines the process of combining and simplifying the terms.

Exponent Laws

Exponent laws are fundamental rules used in algebra that dictate how to handle powers during operations. One key rule is that when multiplying like bases, you add their exponents, which is essential for correctly simplifying expressions that involve variable powers.

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