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Popular >

simplify 5^{1/4}*5^{7/4}

Solution

simplify

5^{\frac{1}{4}} \cdot 5^{\frac{7}{4}}

Solution

25

Solution steps

5^{\frac{1}{4}} \cdot 5^{\frac{7}{4}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{\frac{1}{4}} \cdot 5^{\frac{7}{4}} = 5^{\frac{1}{4} + \frac{7}{4}}

= 5^{\frac{1}{4} + \frac{7}{4}}

\frac{1}{4} + \frac{7}{4} = 2

= 5^{2}

5^{2} = 25

= 25

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Frequently Asked Questions (FAQ)

What is 5^{1/4}*5^{7/4} ?
The solution to 5^{1/4}*5^{7/4} is 25