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Popular >

simplify \sqrt[60]{a^{50}}

Solution

simplify

Solution

a^{\frac{5}{6}}

Solution steps

Apply radical rule:

= (a^{50})^{\frac{1}{60}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{50 \cdot \frac{1}{60}}

50 \cdot \frac{1}{60} = \frac{5}{6}

= a^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[60]{a^{50}} ?
The solution to \sqrt[60]{a^{50}} is a^{5/6}