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

Answer:

x = - 7

Step-by-step 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

Answer 2

Answer: -7

Step-by-step explanation: