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Popular >

simplify (16x^2)^{3/4}

Solution

simplify

(16 x^{2})^{\frac{3}{4}}

Solution

8 x^{\frac{3}{2}}

Solution steps

(16 x^{2})^{\frac{3}{4}}

Apply exponent rule:

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

(16 x^{2})^{\frac{3}{4}} = 1 6^{\frac{3}{4}} (x^{2})^{\frac{3}{4}}

= 1 6^{\frac{3}{4}} (x^{2})^{\frac{3}{4}}

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

= 8 (x^{2})^{\frac{3}{4}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{2})^{\frac{3}{4}} = x^{2 \cdot \frac{3}{4}}

= 8 x^{2 \cdot \frac{3}{4}}

2 \cdot \frac{3}{4} = \frac{3}{2}

= 8 x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is (16x^2)^{3/4} ?
The solution to (16x^2)^{3/4} is 8x^{3/2}