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Popular >

simplify 16^{3/2}

Solution

simplify

1 6^{\frac{3}{2}}

Solution

64

Solution steps

1 6^{\frac{3}{2}}

Factor the number:

16 = 4^{2}

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

Apply exponent rule:

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

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

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

= 4^{3}

4^{3} = 64

= 64

Popular Examples

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g (- \frac{1}{3}) = - (- \frac{1}{3})^{2} + 3 (- \frac{1}{3}) + 2

simplify 4/30*12/4 simplify

\frac{4}{30} \cdot \frac{12}{4}

factor 4x^3-8x^2-25x+50 factor

4 x^{3} - 8 x^{2} - 25 x + 50

3 x = - 6

Frequently Asked Questions (FAQ)

What is 16^{3/2} ?
The solution to 16^{3/2} is 64