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Popular >

simplify+81^{5/4}

Solution

simplify

+ 8 1^{\frac{5}{4}}

Solution

243

Solution steps

8 1^{\frac{5}{4}}

Factor the number:

81 = 3^{4}

= (3^{4})^{\frac{5}{4}}

Apply exponent rule:

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

= 3^{4 \cdot \frac{5}{4}}

4 \cdot \frac{5}{4} = 5

= 3^{5}

3^{5} = 243

= 243

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Frequently Asked Questions (FAQ)

What is simplify+81^{5/4} ?
The solution to simplify+81^{5/4} is 243