What is 1/2*0.32^2*0.52^{-2} ?

The solution to 1/2*0.32^2*0.52^{-2} is 0.18934…

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simplify 1/20.32^20.52^{-2}

simplify

\frac{1}{2} \cdot 0.3 2^{2} \cdot 0.5 2^{- 2}

0.18934 \dots

Solution steps

\frac{1}{2} \cdot 0.3 2^{2} \cdot 0.5 2^{- 2}

Apply exponent rule:

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

= 0.3 2^{2} \cdot \frac{1}{2} \cdot \frac{1}{0.5 2 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 0.3 2 ^{2}}{2 \cdot 0.5 2 ^{2}}

Multiply:

1 \cdot 1 \cdot 0.3 2^{2} = 0.3 2^{2}

= \frac{0.3 2 ^{2}}{2 \cdot 0.5 2 ^{2}}

0.3 2^{2} = 0.1024

= \frac{0.1024}{2 \cdot 0.5 2 ^{2}}

2 \cdot 0.5 2^{2} = 0.5408

= \frac{0.1024}{0.5408}

Divide the numbers:

\frac{0.1024}{0.5408} = 0.18934 \dots

= 0.18934 \dots

x^{2} e^{- 9 x}

1.68 \times 1 0^{- 8} \frac{554}{0.00019625}

3^{\frac{1}{4}} \times 2 7^{\frac{1}{4}}

- 7 e^{- l n (7)}

2^{\frac{1}{2}} \times 3^{\frac{1}{2}}