Describe how you would use the rules of exponents to simplify (7x2yz)3. You may indicate an exponent in your answer with ^. For example, 3x2 y2as 3x^2y^2.

Question

asked May 25, 2021 129k views

1 Answer

Karan Nayyar · Answer 1 · 2021-05-31T10:01:34+0000

Answer:

${(7 {x}^(2)yz })^(3) = 343 {x}^(6) {y}^(3) {z}^(3)$

Explanation:

We simplify

${(7 {x}^(2)yz })^(3)$

using the laws of exponents.

We use the following law of exponents.

${( {a}^(m) } )^(n) = {a}^(mn)$

We apply this law to get:

${(7 {x}^(2)yz })^(3) = {7}^(3) {x}^(2 * 3) {y}^(3) * {z}^(3)$

We multiply the exponents to get:

${(7 {x}^(2)yz })^(3) = 343 {x}^(6) {y}^(3) {z}^(3)$