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xenn [34]
2 years ago
12

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

Mathematics
1 answer:
sertanlavr [38]2 years ago
3 0

The expression is given to be:

\frac{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\frac{5^6}{5^3}

Recall the division rule of exponent given to be:

\frac{x^a}{x^b}=x^{a-b}

Therefore, the expression becomes:

\frac{5^6}{5^3}=5^{6-3}=5^3

Evaluating the answer, we have:

5^3=125

Therefore, the answer is:

\frac{5^4\cdot5^2}{5^3}=125

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