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Popular >

simplify (16x^4)^{3/4}

Solution

simplify

(16 x^{4})^{\frac{3}{4}}

Solution

8 x^{3}

Solution steps

(16 x^{4})^{\frac{3}{4}}

Apply exponent rule:

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

(16 x^{4})^{\frac{3}{4}} = 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}}

= 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}}

1 6^{\frac{3}{4}} = 8

= 8 (x^{4})^{\frac{3}{4}}

Apply exponent rule:

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

assuming

a \geq 0

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

= 8 x^{4 \cdot \frac{3}{4}}

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

= 8 x^{3}

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Frequently Asked Questions (FAQ)

What is (16x^4)^{3/4} ?
The solution to (16x^4)^{3/4} is 8x^3