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Simplify the following expressions. Write your answers as a power. Complete problems 1 through 6.

Simplify the following expressions. Write your answers as a power. Complete problems-example-1

1 Answer

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The expression is given to be:


(5^4\cdot5^2)/(5^3)

Recall the multiplication rule of exponent given to be:


x^a\cdot x^b=x^(a+b)

Therefore, we can simplify the numerator to be:


5^4\cdot5^2=5^(4+2)=5^6

Hence, the expression becomes:


\Rightarrow(5^6)/(5^3)

Recall the division rule of exponent given to be:


(x^a)/(x^b)=x^(a-b)

Therefore, the expression becomes:


(5^6)/(5^3)=5^(6-3)=5^3

Evaluating the answer, we have:


5^3=125

Therefore, the answer is:


(5^4\cdot5^2)/(5^3)=125

User Tudor Vintilescu
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