What is (5^{13}*5^{17})/(5^{11)*5^{16}*5} ?

The solution to (5^{13}*5^{17})/(5^{11)*5^{16}*5} is 25

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simplify (5^{13}5^{17})/(5^{11)5^{16}*5}

simplify

\frac{5 ^{13} \cdot 5 ^{17}}{5 ^{11} \cdot 5 ^{16} \cdot 5}

25

Solution steps

\frac{5 ^{13} \cdot 5 ^{17}}{5 ^{11} \cdot 5 ^{16} \cdot 5}

5^{11} \cdot 5^{16} \cdot 5 = 5^{28}

= \frac{5 ^{13} \cdot 5 ^{17}}{5 ^{28}}

\frac{5 ^{13}}{5 ^{28}} = \frac{1}{5 ^{15}}

= \frac{5 ^{17}}{5 ^{15}}

Apply exponent rule:

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

= 5^{17 - 15}

17 - 15 = 2

= 5^{2}

5^{2} = 25

= 25

\frac{12}{( - 4 )}

40 m^{5}

\frac{3}{5} - \frac{2}{4}

- 7 \cdot (- 6)

- 7 \cdot (- 4)

What is (5^{13}*5^{17})/(5^{11)*5^{16}*5} ?
The solution to (5^{13}*5^{17})/(5^{11)*5^{16}*5} is 25