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Popular >

simplify (m^{5/4})^{1/2}

Solution

simplify

(m^{\frac{5}{4}})^{\frac{1}{2}}

Solution

m^{\frac{5}{8}}

Solution steps

(m^{\frac{5}{4}})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= m^{\frac{5}{4} \cdot \frac{1}{2}}

\frac{5}{4} \cdot \frac{1}{2} = \frac{5}{8}

= m^{\frac{5}{8}}

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Frequently Asked Questions (FAQ)

What is (m^{5/4})^{1/2} ?
The solution to (m^{5/4})^{1/2} is m^{5/8}