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Popular >

simplify (16^5)^{1/2}

Solution

simplify

(1 6^{5})^{\frac{1}{2}}

Solution

1024

Solution steps

(1 6^{5})^{\frac{1}{2}}

Apply exponent rule:

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

= 1 6^{5 \cdot \frac{1}{2}}

5 \cdot \frac{1}{2} = \frac{5}{2}

= 1 6^{\frac{5}{2}}

Factor the number:

16 = 4^{2}

= (4^{2})^{\frac{5}{2}}

Apply exponent rule:

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

= 4^{2 \cdot \frac{5}{2}}

2 \cdot \frac{5}{2} = 5

= 4^{5}

4^{5} = 1024

= 1024

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Frequently Asked Questions (FAQ)

What is (16^5)^{1/2} ?
The solution to (16^5)^{1/2} is 1024