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Popular >

simplify 1024^{2/5}

Solution

simplify

102 4^{\frac{2}{5}}

Solution

16

Solution steps

102 4^{\frac{2}{5}}

Factor the number:

1024 = 4^{5}

= (4^{5})^{\frac{2}{5}}

Apply exponent rule:

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

= 4^{5 \cdot \frac{2}{5}}

5 \cdot \frac{2}{5} = 2

= 4^{2}

4^{2} = 16

= 16

Popular Examples

k^{2} + 16 k = - 48

factor 15x^2-53x+42 factor

15 x^{2} - 53 x + 42

factor a^3-729 factor

a^{3} - 729

0= 2/3 (-4+9)^{3/2}

0 = \frac{2}{3} (- 4 + 9)^{\frac{3}{2}}

factor 7ax+21x^2y factor

7 a x + 21 x^{2} y

Frequently Asked Questions (FAQ)

What is 1024^{2/5} ?
The solution to 1024^{2/5} is 16