Question

What is the value of x in the product of powers below? 6^9 6^x=6^2 -11 -7 11 7

Answer 1

B. -7

Explanation:

ed 22

Answer 2

x = - 7

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

Given

`6^(9)` ×
`6^(x)` = 6², then

`6^((9+x))` = 6²

Since the bases on both sides are equal then equate the exponents

9 + x = 2 ( subtract 9 from both sides )

x = - 7