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Popular >

simplify 243^{1/5}

Solution

simplify

24 3^{\frac{1}{5}}

Solution

3

Solution steps

24 3^{\frac{1}{5}}

Factor the number:

243 = 3^{5}

= (3^{5})^{\frac{1}{5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{5 \cdot \frac{1}{5}}

5 \cdot \frac{1}{5} = 1

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

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6 x^{2} - 18 x - 24 = 36

Frequently Asked Questions (FAQ)

What is 243^{1/5} ?
The solution to 243^{1/5} is 3