Question

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.

Answer 1

`{(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)`