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Popular >

simplify 1024^{4/5}

Solution

simplify

102 4^{\frac{4}{5}}

Solution

256

Solution steps

102 4^{\frac{4}{5}}

Factor the number:

1024 = 4^{5}

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

Apply exponent rule:

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

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

5 \cdot \frac{4}{5} = 4

= 4^{4}

4^{4} = 256

= 256

Popular Examples

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\frac{5}{6} - \frac{3}{6}

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simplify sqrt((8^{10)+4^{10})/(8^4+4^{11)}}simplify

\frac{8 ^{10} + 4 ^{10}}{8 ^{4} + 4 ^{11}}

Frequently Asked Questions (FAQ)

What is 1024^{4/5} ?
The solution to 1024^{4/5} is 256