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Popular >

simplify-9^{3/2}

Solution

simplify

- 9^{\frac{3}{2}}

Solution

- 27

Solution steps

- 9^{\frac{3}{2}}

Factor the number:

9 = 3^{2}

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

Apply exponent rule:

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

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

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

= - 3^{3}

- 3^{3} = - 27

= - 27

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Frequently Asked Questions (FAQ)

What is simplify-9^{3/2} ?
The solution to simplify-9^{3/2} is -27