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Popular >

simplify 1024^{3/5}

Solution

simplify

102 4^{\frac{3}{5}}

Solution

64

Solution steps

102 4^{\frac{3}{5}}

Factor the number:

1024 = 4^{5}

= (4^{5})^{\frac{3}{5}}

Apply exponent rule:

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

= 4^{5 \cdot \frac{3}{5}}

5 \cdot \frac{3}{5} = 3

= 4^{3}

4^{3} = 64

= 64

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Frequently Asked Questions (FAQ)

What is 1024^{3/5} ?
The solution to 1024^{3/5} is 64