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Popular >

simplify sqrt(2^m)

Solution

simplify

2^{m}

Solution

2^{\frac{m}{2}}

Solution steps

2^{m}

Apply radical rule:

a = a^{\frac{1}{2}}

= (2^{m})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2^{m \frac{1}{2}}

Simplify

m \frac{1}{2} : \frac{m}{2}

= 2^{\frac{m}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(2^m) ?
The solution to sqrt(2^m) is 2^{m/2}