What is 1/2 (x)^{-1/2} ?

The solution to 1/2 (x)^{-1/2} is 1/(2x^{1/2)}

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simplify 1/2 (x)^{-1/2}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Multiply the numbers:

1 \cdot 1 = 1

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

(+ 32) + (- 98)

2 \times (- 0.5)

\frac{3}{4} \div \frac{7}{8} \div \frac{15}{16}

s (s + 1)^{2} (s + 2)

(w^{3})^{5}