What is 15.4*(1.1^2)/(1.85^2) ?

The solution to 15.4*(1.1^2)/(1.85^2) is 5.44455…

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simplify 15.4*(1.1^2)/(1.85^2)

simplify

15.4 \cdot \frac{1. 1 ^{2}}{1.8 5 ^{2}}

5.44455 \dots

Solution steps

15.4 \cdot \frac{1. 1 ^{2}}{1.8 5 ^{2}}

Apply exponent rule:

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

\frac{1. 1 ^{2}}{1.8 5 ^{2}} = (\frac{1.1}{1.85})^{2}

= 15.4 (\frac{1.1}{1.85})^{2}

(\frac{1.1}{1.85})^{2} = \frac{1. 1 ^{2}}{1.8 5 ^{2}}

= 15.4 \cdot \frac{1. 1 ^{2}}{1.8 5 ^{2}}

Multiply fractions:

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

= \frac{1. 1 ^{2} \cdot 15.4}{1.8 5 ^{2}}

1. 1^{2} \cdot 15.4 = 18.634

= \frac{18.634}{1.8 5 ^{2}}

1.8 5^{2} = 3.4225

= \frac{18.634}{3.4225}

Divide the numbers:

\frac{18.634}{3.4225} = 5.44455 \dots

= 5.44455 \dots

5 e^{2} \cdot 5

0.00005301 \cdot (3 \cdot 9 \cdot 1 0^{- 6}) \cdot 65

\frac{1}{2} \cdot 159150 \cdot (- 1.27 - 13.93)^{2} \cdot 1 0^{- 6}

e^{- x^{10}} \cdot x^{9}

What is 15.4*(1.1^2)/(1.85^2) ?
The solution to 15.4*(1.1^2)/(1.85^2) is 5.44455…