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Popular >

simplify 256^{3/2}

Solution

simplify

25 6^{\frac{3}{2}}

Solution

4096

Solution steps

25 6^{\frac{3}{2}}

Factor the number:

256 = 1 6^{2}

= (1 6^{2})^{\frac{3}{2}}

Apply exponent rule:

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

= 1 6^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= 1 6^{3}

1 6^{3} = 4096

= 4096

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Frequently Asked Questions (FAQ)

What is 256^{3/2} ?
The solution to 256^{3/2} is 4096