What is 15.4^2*(1.8^2)/(1.1^2) ?

The solution to 15.4^2*(1.8^2)/(1.1^2) is 635.04

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simplify 15.4^2*(1.8^2)/(1.1^2)

simplify

15. 4^{2} \cdot \frac{1. 8 ^{2}}{1. 1 ^{2}}

635.04

Solution steps

15. 4^{2} \cdot \frac{1. 8 ^{2}}{1. 1 ^{2}}

Apply exponent rule:

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

\frac{1. 8 ^{2}}{1. 1 ^{2}} = (\frac{1.8}{1.1})^{2}

= 15. 4^{2} (\frac{1.8}{1.1})^{2}

(\frac{1.8}{1.1})^{2} = \frac{1. 8 ^{2}}{1. 1 ^{2}}

= 15. 4^{2} \cdot \frac{1. 8 ^{2}}{1. 1 ^{2}}

Multiply fractions:

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

= \frac{1. 8 ^{2} \cdot 15. 4 ^{2}}{1. 1 ^{2}}

1. 8^{2} \cdot 15. 4^{2} = 768.3984

= \frac{768.3984}{1. 1 ^{2}}

1. 1^{2} = 1.21

= \frac{768.3984}{1.21}

Divide the numbers:

\frac{768.3984}{1.21} = 635.04

= 635.04

1.38 \cdot 1 0^{- 23} \cdot 298 \cdot ln (1 0^{2.19})

- \frac{e ^{- x}}{e ^{- 2 x}}

3 + 2 \cdot 3 - 2

e^{(- 150 \cdot 720 \cdot 1 0^{- 6})}

5^{2} 0. 5^{- 6}

What is 15.4^2*(1.8^2)/(1.1^2) ?
The solution to 15.4^2*(1.8^2)/(1.1^2) is 635.04