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Popular >

simplify 2(9)^{3/2}

Solution

simplify

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

Solution

54

Solution steps

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

Factor the number:

9 = 3^{2}

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

Apply exponent rule:

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

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

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

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

= 2 \cdot 3^{3}

3^{3} = 27

= 2 \cdot 27

Multiply the numbers:

2 \cdot 27 = 54

= 54

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Frequently Asked Questions (FAQ)

What is 2(9)^{3/2} ?
The solution to 2(9)^{3/2} is 54