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Popular >

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

Solution

simplify

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

Solution

256 p^{4}

Solution steps

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

= 256 p^{4}

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Frequently Asked Questions (FAQ)

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