nakyiawilliams6488
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  • 07-02-2022
  • Mathematics
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what is the value of 9^-6/9^-4?

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MathWiz0001
MathWiz0001 MathWiz0001
  • 07-02-2022

Answer:

9^-2 or 1/81

Step-by-step explanation:

Exponent Rule:

When dividing exponents, they're subtracted.

Since the second term has a negative exponent, we add.

Change the problem into multiplication, then add 4 to the exponent of -6:

[tex]\frac{9^{-6} }{9^{-4} } = 9^{-6} \times 9^{4}=9^{-2}[/tex] [tex]or[/tex] [tex]\frac{1}{81}[/tex]

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