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Popular >

simplify (625x^6)^{3/4}

Solution

simplify

(625 x^{6})^{\frac{3}{4}}

Solution

125 x^{\frac{9}{2}}

Solution steps

(625 x^{6})^{\frac{3}{4}}

Apply exponent rule:

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

(625 x^{6})^{\frac{3}{4}} = 62 5^{\frac{3}{4}} (x^{6})^{\frac{3}{4}}

= 62 5^{\frac{3}{4}} (x^{6})^{\frac{3}{4}}

62 5^{\frac{3}{4}} = 125

= 125 (x^{6})^{\frac{3}{4}}

Apply exponent rule:

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

assuming

a \geq 0

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

= 125 x^{6 \cdot \frac{3}{4}}

6 \cdot \frac{3}{4} = \frac{9}{2}

= 125 x^{\frac{9}{2}}

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Frequently Asked Questions (FAQ)

What is (625x^6)^{3/4} ?
The solution to (625x^6)^{3/4} is 125x^{9/2}