austlong0520 austlong0520
  • 10-12-2019
  • Mathematics
contestada

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

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jimrgrant1 jimrgrant1
  • 10-12-2019

Answer:

x = - 7

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

Given

[tex]6^{9}[/tex] × [tex]6^{x}[/tex] = 6², then

[tex]6^{(9+x)}[/tex] = 6²

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

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

x = - 7

Answer Link
atheralia009 atheralia009
  • 19-04-2022

B. -7

Step-by-step explanation:

ed 22

Answer Link

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