What is 1/(2.27)*(1.98^2)/(1.14^2) ?

The solution to 1/(2.27)*(1.98^2)/(1.14^2) is 1.32890…

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simplify 1/(2.27)*(1.98^2)/(1.14^2)

simplify

\frac{1}{2.27} \cdot \frac{1.9 8 ^{2}}{1.1 4 ^{2}}

1.32890 \dots

Solution steps

\frac{1}{2.27} \cdot \frac{1.9 8 ^{2}}{1.1 4 ^{2}}

Apply exponent rule:

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

\frac{1.9 8 ^{2}}{1.1 4 ^{2}} = (\frac{1.98}{1.14})^{2}

= \frac{1}{2.27} (\frac{1.98}{1.14})^{2}

(\frac{1.98}{1.14})^{2} = \frac{1.9 8 ^{2}}{1.1 4 ^{2}}

= \frac{1}{2.27} \cdot \frac{1.9 8 ^{2}}{1.1 4 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1.9 8 ^{2}}{2.27 \cdot 1.1 4 ^{2}}

Multiply:

1 \cdot 1.9 8^{2} = 1.9 8^{2}

= \frac{1.9 8 ^{2}}{1.1 4 ^{2} \cdot 2.27}

1.9 8^{2} = 3.9204

= \frac{3.9204}{1.1 4 ^{2} \cdot 2.27}

2.27 \cdot 1.1 4^{2} = 2.950092

= \frac{3.9204}{2.950092}

Divide the numbers:

\frac{3.9204}{2.950092} = 1.32890 \dots

= 1.32890 \dots

299792458 (6.63 \cdot 1 0^{- 34})

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

(1 + 4 x)^{- 4}

12 \cdot e^{- \frac{0}{67}}

0.033 \cdot (1.8 \cdot 1 0^{- 5})

What is 1/(2.27)*(1.98^2)/(1.14^2) ?
The solution to 1/(2.27)*(1.98^2)/(1.14^2) is 1.32890…