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Popular >

simplify [(1/4)^2]^4

Solution

simplify

[(\frac{1}{4})^{2}]^{4}

Solution

\frac{1}{65536}

+1

Decimal Notation

0.00001 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply the numbers:

2 \cdot 4 = 8

= (\frac{1}{4})^{8}

Apply exponent rule:

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

= \frac{1 ^{8}}{4 ^{8}}

1^{8} = 1

= \frac{1}{4 ^{8}}

4^{8} = 65536

= \frac{1}{65536}

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Frequently Asked Questions (FAQ)

What is [(1/4)^2]^4 ?
The solution to [(1/4)^2]^4 is 1/65536