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Popular >

simplify (243x^5)^{4/5}

Solution

simplify

(243 x^{5})^{\frac{4}{5}}

Solution

81 x^{4}

Solution steps

(243 x^{5})^{\frac{4}{5}}

Apply exponent rule:

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

(243 x^{5})^{\frac{4}{5}} = 24 3^{\frac{4}{5}} (x^{5})^{\frac{4}{5}}

= 24 3^{\frac{4}{5}} (x^{5})^{\frac{4}{5}}

24 3^{\frac{4}{5}} = 81

= 81 (x^{5})^{\frac{4}{5}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{5})^{\frac{4}{5}} = x^{5 \cdot \frac{4}{5}}

= 81 x^{5 \cdot \frac{4}{5}}

5 \cdot \frac{4}{5} = 4

= 81 x^{4}

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6 a - 5 (a - 2) + 9 = - 11

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Frequently Asked Questions (FAQ)

What is (243x^5)^{4/5} ?
The solution to (243x^5)^{4/5} is 81x^4