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Popular >

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

Solution

simplify

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

Solution

\frac{390625}{256}

+1

Decimal Notation

1525.87890 \dots

Solution steps

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

Apply exponent rule:

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

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

(5^{2})^{4} = 390625

= \frac{390625}{4 ^{4}}

4^{4} = 256

= \frac{390625}{256}

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Frequently Asked Questions (FAQ)

What is ((5^2)/4)^4 ?
The solution to ((5^2)/4)^4 is 390625/256