What is 4.9((1.5^2)/(4.05^2)) ?

The solution to 4.9((1.5^2)/(4.05^2)) is 0.67215…

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simplify 4.9((1.5^2)/(4.05^2))

simplify

4.9 (\frac{1. 5 ^{2}}{4.0 5 ^{2}})

0.67215 \dots

Solution steps

4.9 (\frac{1. 5 ^{2}}{4.0 5 ^{2}})

Apply exponent rule:

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

\frac{1. 5 ^{2}}{4.0 5 ^{2}} = (\frac{1.5}{4.05})^{2}

= 4.9 (\frac{1.5}{4.05})^{2}

(\frac{1.5}{4.05})^{2} = \frac{1. 5 ^{2}}{4.0 5 ^{2}}

= 4.9 \cdot \frac{1. 5 ^{2}}{4.0 5 ^{2}}

Multiply fractions:

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

= \frac{1. 5 ^{2} \cdot 4.9}{4.0 5 ^{2}}

1. 5^{2} \cdot 4.9 = 11.025

= \frac{11.025}{4.0 5 ^{2}}

4.0 5^{2} = 16.4025

= \frac{11.025}{16.4025}

Divide the numbers:

\frac{11.025}{16.4025} = 0.67215 \dots

= 0.67215 \dots

45 \cdot e^{(- \frac{0.02}{12.5})}

(2 x^{4}) \cdot (6 x^{5})

e^{- x} (1 + x) \cdot e^{x}

(2.75 \cdot 1 0^{3}) (4.2 \cdot 1 0^{- 5})

cosh (x) e^{- x}

What is 4.9((1.5^2)/(4.05^2)) ?
The solution to 4.9((1.5^2)/(4.05^2)) is 0.67215…