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Popular >

simplify 4^{(-1)/2}

Solution

simplify

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

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

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

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

= 2^{- 1}

Apply exponent rule:

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

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

= \frac{1}{2}

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44 = 2 (3 x - 5)

Frequently Asked Questions (FAQ)

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