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bija089 [108]
2 years ago
12

Use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?

Mathematics
1 answer:
Talja [164]2 years ago
5 0

9514 1404 393

Answer:

  4² = 16

Step-by-step explanation:

The applicable rule of exponents is ...

  1/a^-b = a^b

So, ...

 \dfrac{1}{4^{-2}}=\boxed{4^2 = 16}

_____

<em>Additional comment</em>

If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:

  1/4^-2 = 1/(1/16)

Then, you would do the division.

 1/(1/16) = 16

__

We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.

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