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krok68 [10]
3 years ago
9

Simplify. Assume that no denominator is equal to zero.

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

Answer: FIRST OPTION.

Step-by-step explanation:

For this exercise it is important to remember a property called "Quotient of Powers property".

 By definition the Quotient of Powers property states the following:

\frac{a^m}{a^n}=a^{(m-n)}

You can observe the division of a^m and a^n. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".

In this case, you have the following expression given in the exercise:

\frac{4^{12}}{4^{5}}

Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.

Therefore, you get the following result:

=4^{(12-5)}=4^7

You can notice that it matches with the first option.

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