What is (2pi)/(3.14)x^{80}xsin(arccos(1/2)) ?

The solution to (2pi)/(3.14)x^{80}xsin(arccos(1/2)) is 1.73292…x^{81}

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simplify (2pi)/(3.14)x^{80}xsin(arccos(1/2))

simplify

\frac{2 π}{3.14} x^{80} x sin (arccos (\frac{1}{2}))

1.73292 \dots x^{81}

Solution steps

\frac{2 π}{3.14} x^{80} x sin (arccos (\frac{1}{2}))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{80} x = x^{80 + 1}

= \frac{2 π}{3.14} x^{80 + 1} sin (arccos (\frac{1}{2}))

Add the numbers:

80 + 1 = 81

= \frac{2 π}{3.14} x^{81} sin (arccos (\frac{1}{2}))

Multiply fractions:

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

= sin (arccos (\frac{1}{2})) \frac{2 π x ^{81}}{3.14}

Simplify

\frac{2 π x ^{81}}{3.14} : 2.00101 \dots x^{81}

= 2.00101 \dots sin (arccos (\frac{1}{2})) x^{81}

Simplify

arccos (\frac{1}{2}) : \frac{π}{3}

= 2.00101 \dots sin (\frac{π}{3}) x^{81}

Simplify

sin (\frac{π}{3}) : \frac{3}{2}

= 2.00101 \dots \cdot \frac{3}{2} x^{81}

Simplify

= 1.73292 \dots x^{81}

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\frac{d}{d x} ((f (x, y)) ((2 y + 5) e^{- x}))

5.77 \cdot 1 0^{- 7}

e^{- t} sin (2 t + t^{2})

What is (2pi)/(3.14)x^{80}xsin(arccos(1/2)) ?
The solution to (2pi)/(3.14)x^{80}xsin(arccos(1/2)) is 1.73292…x^{81}