Question

Consider the expression shown.

(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)


Part A. The value of the exponent of x in the simplified expression will be


1. -18


2. -9


3. 3


Part B. The value of the exponent of y in the simplified expression will be


1. -35


2. -12


3. -2


Part C. The value of the exponent of z in the simplified expression will be


1. -6


2. -2


3. 8

Answer 1

3, 3 and 1

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

Given

(
`x^(-3)`
`y^(5)`
`z^(-4)` ×
`x^(6)`
`y^(-7)`
`z^(-2)`

A

`x^(-3)` ×
`x^(6)` =
`x^((-3+6))` = x³ → with exponent 3

B

`y^(5)` ×
`y^(-7)` =
`y^((5-7))` =
`y^(-2)` → with exponent - 2

C

`z^(-4)` ×
`z^(-2)` =
`z^((-4-2))` =
`z^(-6)` → with exponent - 6