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Popular >

simplify (1+1/4)^4

Solution

simplify

(1 + \frac{1}{4})^{4}

Solution

\frac{625}{256}

+1

Decimal Notation

2.44140625

Solution steps

(1 + \frac{1}{4})^{4}

1 + \frac{1}{4} = \frac{5}{4}

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

Apply exponent rule:

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

= \frac{5 ^{4}}{4 ^{4}}

5^{4} = 625

= \frac{625}{4 ^{4}}

4^{4} = 256

= \frac{625}{256}

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Frequently Asked Questions (FAQ)

What is (1+1/4)^4 ?
The solution to (1+1/4)^4 is 625/256