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Popular >

simplify ((6/5)/(3/5))^5

Solution

simplify

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

Solution

32

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( \frac{6}{5} ) ^{5}}{( \frac{3}{5} ) ^{5}}

(\frac{6}{5})^{5} = \frac{7776}{3125}

= \frac{\frac{7776}{3125}}{( \frac{3}{5} ) ^{5}}

(\frac{3}{5})^{5} = \frac{243}{3125}

= \frac{\frac{7776}{3125}}{\frac{243}{3125}}

\frac{\frac{7776}{3125}}{\frac{243}{3125}} = 32

= 32

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Frequently Asked Questions (FAQ)

What is ((6/5)/(3/5))^5 ?
The solution to ((6/5)/(3/5))^5 is 32