What is ((sqrt(0.9))/(20/2))(0.1)^{-2} ?

The solution to ((sqrt(0.9))/(20/2))(0.1)^{-2} is 9.48683…

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simplify ((sqrt(0.9))/(20/2))(0.1)^{-2}

simplify

(\frac{0.9}{\frac{20}{2}}) (0.1)^{- 2}

9.48683 \dots

Solution steps

(\frac{0.9}{\frac{20}{2}}) (0.1)^{- 2}

Apply exponent rule:

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

= \frac{1}{0. 1 ^{2}} \cdot \frac{0.9}{\frac{20}{2}}

\frac{0.9}{\frac{20}{2}} = \frac{0.9}{10}

= \frac{1}{0. 1 ^{2}} \cdot \frac{0.9}{10}

Multiply fractions:

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

= \frac{0.9 \cdot 1}{10 \cdot 0. 1 ^{2}}

Multiply:

0.9 \cdot 1 = 0.9

= \frac{0.9}{10 \cdot 0. 1 ^{2}}

10 \cdot 0. 1^{2} = 0.1

= \frac{0.9}{0.1}

0.9 = 0.94868 \dots

= \frac{0.94868 \dots}{0.1}

Divide the numbers:

\frac{0.94868 \dots}{0.1} = 9.48683 \dots

= 9.48683 \dots

4.7 \cdot 1 0^{- 6}

\frac{e ^{- x + 1}}{e ^{- x}}

e^{- l n (2 x + 1)}

What is ((sqrt(0.9))/(20/2))(0.1)^{-2} ?
The solution to ((sqrt(0.9))/(20/2))(0.1)^{-2} is 9.48683…