Describe how to simplify the expression 3^-6/3^-4 A. Divide the bases and then add the exponents. B. Keep the base the same and then add the exponents. C. Multiply the bases and then subtract the exponents. d. Keep the base the same and then subtract the exponents.

QUESTION POSTED AT 01/06/2020 - 04:17 PM

Answered by admin AT 01/06/2020 - 04:17 PM

Answer:

(D) 3^{-2}

Step-by-step explanation:

We have to simplify the given expression that is :

\frac{3^{-6} }{3^{-4} }

Now, keeping the base same and then subtracting the components, we have

first keep the base same,

3^{-6}{\times}3^{-4}

Now, subtract the exponents,

3^{-6+4}

3^{-2}

Which is the required simplified expression.

Therefore, Option D is correct.

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