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Popular >

simplify (16^3)^{1/2}

Solution

simplify

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

Solution

64

Solution steps

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

Apply exponent rule:

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

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

3 \cdot \frac{1}{2} = \frac{3}{2}

= 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

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Frequently Asked Questions (FAQ)

What is (16^3)^{1/2} ?
The solution to (16^3)^{1/2} is 64