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Popular >

simplify ((1-1/4)^2)^2

Solution

simplify

((1 - \frac{1}{4})^{2})^{2}

Solution

\frac{81}{256}

+1

Decimal Notation

0.31640625

Solution steps

((1 - \frac{1}{4})^{2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= (1 - \frac{1}{4})^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= (1 - \frac{1}{4})^{4}

1 - \frac{1}{4} = \frac{3}{4}

= (\frac{3}{4})^{4}

Apply exponent rule:

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

= \frac{3 ^{4}}{4 ^{4}}

3^{4} = 81

= \frac{81}{4 ^{4}}

4^{4} = 256

= \frac{81}{256}

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Frequently Asked Questions (FAQ)

What is ((1-1/4)^2)^2 ?
The solution to ((1-1/4)^2)^2 is 81/256