What is 4.9((0.5^2)/(4.05^2)) ?

The solution to 4.9((0.5^2)/(4.05^2)) is 0.07468…

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simplify 4.9((0.5^2)/(4.05^2))

simplify

4.9 (\frac{0. 5 ^{2}}{4.0 5 ^{2}})

0.07468 \dots

Solution steps

4.9 (\frac{0. 5 ^{2}}{4.0 5 ^{2}})

Apply exponent rule:

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

\frac{0. 5 ^{2}}{4.0 5 ^{2}} = (\frac{0.5}{4.05})^{2}

= 4.9 (\frac{0.5}{4.05})^{2}

(\frac{0.5}{4.05})^{2} = \frac{0. 5 ^{2}}{4.0 5 ^{2}}

= 4.9 \cdot \frac{0. 5 ^{2}}{4.0 5 ^{2}}

Multiply fractions:

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

= \frac{0. 5 ^{2} \cdot 4.9}{4.0 5 ^{2}}

0. 5^{2} \cdot 4.9 = 1.225

= \frac{1.225}{4.0 5 ^{2}}

4.0 5^{2} = 16.4025

= \frac{1.225}{16.4025}

Divide the numbers:

\frac{1.225}{16.4025} = 0.07468 \dots

= 0.07468 \dots

0.87 \cdot 1 0^{- 12}

80 e^{- 0.0123 (2)}

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

- e^{- 2 t} ln (t)

(e^{- 2 x}) (- 2 x e^{- 2 x})

What is 4.9((0.5^2)/(4.05^2)) ?
The solution to 4.9((0.5^2)/(4.05^2)) is 0.07468…