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Popular >

simplify 1/(4^{1/2)}

Solution

simplify

\frac{1}{4 ^{\frac{1}{2}}}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{1}{4 ^{\frac{1}{2}}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

a^{1} = a

2^{1} = 2

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/(4^{1/2)} ?
The solution to 1/(4^{1/2)} is 1/2