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Popular >

simplify ((4^7)/(5^2))^3

Solution

simplify

(\frac{4 ^{7}}{5 ^{2}})^{3}

Solution

\frac{4 ^{21}}{15625}

+1

Decimal Notation

281474976.710656

Solution steps

(\frac{4 ^{7}}{5 ^{2}})^{3}

Apply exponent rule:

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

= \frac{( 4 ^{7} ) ^{3}}{( 5 ^{2} ) ^{3}}

(4^{7})^{3} = 4^{21}

= \frac{4 ^{21}}{( 5 ^{2} ) ^{3}}

(5^{2})^{3} = 15625

= \frac{4 ^{21}}{15625}

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Frequently Asked Questions (FAQ)

What is ((4^7)/(5^2))^3 ?
The solution to ((4^7)/(5^2))^3 is (4^{21})/(15625)