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Popular >

simplify 2(4)^{3/2}

Solution

simplify

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

Solution

16

Solution steps

2 \cdot 4^{\frac{3}{2}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

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

= 2 \cdot 2^{3}

2^{3} = 8

= 2 \cdot 8

Multiply the numbers:

2 \cdot 8 = 16

= 16

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Frequently Asked Questions (FAQ)

What is 2(4)^{3/2} ?
The solution to 2(4)^{3/2} is 16