What is 0.5(x-2)^{-0.5} ?

The solution to 0.5(x-2)^{-0.5} is 1/(2(x-2)^{0.5)}

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simplify 0.5(x-2)^{-0.5}

simplify

0.5 (x - 2)^{- 0.5}

\frac{1}{2 ( x - 2 ) ^{0.5}}

Solution steps

0.5 (x - 2)^{- 0.5}

Apply exponent rule:

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

(x - 2)^{- 0.5} = \frac{1}{( x - 2 ) ^{0.5}}

= 0.5 \cdot \frac{1}{( x - 2 ) ^{0.5}}

Apply the fraction rule:

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

= \frac{0.5 \cdot 1}{( x - 2 ) ^{0.5}}

Multiply the numbers:

0.5 \cdot 1 = 0.5

= \frac{0.5}{( x - 2 ) ^{0.5}}

Simplify

\frac{0.5}{( x - 2 ) ^{0.5}} : \frac{5}{10 ( x - 2 ) ^{0.5}}

= \frac{5}{10 ( x - 2 ) ^{0.5}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

= \frac{1}{2 ( x - 2 ) ^{0.5}}

(27 a^{n} b^{m}) (2 a^{n} b)

\frac{e ^{2}}{( 2 - 2 ) ^{2}}

3 e^{- 3 \cdot 14}

50 e^{- 0.34657 \cdot 4}