Question

Write the following expression in simplified radical form. $$ \sqrt[4]{96y^{16}z^{10}} $$ Assume that all of the variables in the expression represent positive real numbers.

Name: write the following expression in simplified radical form sqrt496y16z10 assume that all of the variables in the expression represent positive real numbers 28505
Uploaded: 2020-07-22T04:48:46-08:00
Duration: 1 min 39 s
Channel: Ankit Gupta
Description: write the following expression in simplified radical form sqrt496y16z10 assume that all of the variables in the expression represent positive real numbers 28505

          Write the following expression in simplified radical form.
$$ \sqrt[4]{96y^{16}z^{10}} $$
Assume that all of the variables in the expression represent positive real numbers.

write the following expression in simplified radical form sqrt496y16z10 assume that all of the variables in the expression represent positive real numbers 28505

Added by Phyllis H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/22/2020

Step 1

First, let's find the prime factorization of 96: $$ 96 = 2 \times 48 = 2 \times 2 \times 24 = 2 \times 2 \times 2 \times 12 = 2 \times 2 \times 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 = 2^5 \times 3 $$ So, the expression becomes: $$ Show more…

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Write the following expression in simplified radical form. $$ \sqrt[4]{96y^{16}z^{10}} $$ Assume that all of the variables in the expression represent positive real numbers.