simplify 0.5^{1/2}

Solution

simplify

0. 5^{\frac{1}{2}}

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

Decimal Notation

0.70710 \dots

Solution steps

0. 5^{\frac{1}{2}}

0.5 = \frac{1}{2}

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

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

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

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

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