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Popular >

simplify 81^{3/2}

Solution

simplify

8 1^{\frac{3}{2}}

Solution

729

Solution steps

8 1^{\frac{3}{2}}

Factor the number:

81 = 9^{2}

= (9^{2})^{\frac{3}{2}}

Apply exponent rule:

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

= 9^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= 9^{3}

9^{3} = 729

= 729

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(|1+c|)/(sqrt(5))=sqrt(5)

\frac{∣ 1 + c ∣}{5} = 5

Frequently Asked Questions (FAQ)

What is 81^{3/2} ?
The solution to 81^{3/2} is 729