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Popular >

simplify (64v^3)^{4/3}

Solution

simplify

(64 v^{3})^{\frac{4}{3}}

Solution

256 v^{4}

Solution steps

(64 v^{3})^{\frac{4}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(64 v^{3})^{\frac{4}{3}} = 6 4^{\frac{4}{3}} (v^{3})^{\frac{4}{3}}

= 6 4^{\frac{4}{3}} (v^{3})^{\frac{4}{3}}

6 4^{\frac{4}{3}} = 256

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

= 256 v^{3 \cdot \frac{4}{3}}

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

= 256 v^{4}

Popular Examples

factor a^4-256 factor

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x^{9} - 1

- 7 \geq 13 - 5 x

(3!)/((3-1)!1!)=(0.1)^1*(0.9)^2

\frac{3 !}{( 3 - 1 ) ! 1 !} = (0.1)^{1} \cdot (0.9)^{2}

simplify \sqrt[3]{243}simplify

Frequently Asked Questions (FAQ)

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