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Popular >

simplify (p^{3/2})^{7/2}

Solution

simplify

(p^{\frac{3}{2}})^{\frac{7}{2}}

Solution

p^{\frac{21}{4}}

Solution steps

(p^{\frac{3}{2}})^{\frac{7}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= p^{\frac{3}{2} \cdot \frac{7}{2}}

\frac{3}{2} \cdot \frac{7}{2} = \frac{21}{4}

= p^{\frac{21}{4}}

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Frequently Asked Questions (FAQ)

What is (p^{3/2})^{7/2} ?
The solution to (p^{3/2})^{7/2} is p^{21/4}