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Popular >

simplify (256)^{3/4}

Solution

simplify

(256)^{\frac{3}{4}}

Solution

64

Solution steps

25 6^{\frac{3}{4}}

Factor the number:

256 = 4^{4}

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

Apply exponent rule:

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

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

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

= 4^{3}

4^{3} = 64

= 64

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x^{3} - 8 x^{2} + 19 x - 12 < 0

-2x+140=x-3x+100+5x

- 2 x + 140 = x - 3 x + 100 + 5 x

simplify 9/2-3 simplify

\frac{9}{2} - 3

Frequently Asked Questions (FAQ)

What is (256)^{3/4} ?
The solution to (256)^{3/4} is 64