What is (10)(8.85x10^{-12})cos(-50) ?

The solution to (10)(8.85x10^{-12})cos(-50) is 5.68867E-11x

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simplify (10)(8.85x10^{-12})cos(-50)

simplify

(10) (8.85 x 1 0^{- 12}) cos (- 5 0^{\circ})

5.68867 E - 11 x

Solution steps

(10) (8.85 x \cdot 1 0^{- 12}) cos (- 5 0^{\circ})

Apply exponent rule:

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

10 \cdot 1 0^{- 12} = 1 0^{1 - 12}

= 8.85 x \cdot 1 0^{1 - 12} cos (- 5 0^{\circ})

Subtract the numbers:

1 - 12 = - 11

= 8.85 x \cdot 1 0^{- 11} cos (- 5 0^{\circ})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= 8.85 \cdot \frac{1}{1 0 ^{11}} cos (- 5 0^{\circ}) x

Multiply fractions:

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

= 8.85 cos (- 5 0^{\circ}) \frac{1 \cdot x}{1 0 ^{11}}

Multiply:

1 \cdot x = x

= 8.85 cos (- 5 0^{\circ}) \frac{x}{1 0 ^{11}}

Simplify

cos (- 5 0^{\circ}) : cos (\frac{5 π}{18})

= 8.85 cos (\frac{5 π}{18}) \frac{x}{1 0 ^{11}}

Multiply fractions:

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

= 8.85 \cdot \frac{cos ( \frac{5 π}{18} ) x}{1 0 ^{11}}

Multiply fractions:

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

= \frac{x cos ( \frac{5 π}{18} ) \cdot 8.85}{1 0 ^{11}}

Convert element to a decimal form

1 0^{11} = 100000000000

= \frac{8.85 cos ( \frac{5 π}{18} ) x}{100000000000}

cos (\frac{5 π}{18}) = 0.64278 \dots

= \frac{0.64278 \dots \cdot 8.85 x}{100000000000}

Multiply the numbers:

0.64278 \dots \cdot 8.85 = 5.68867 \dots

= \frac{5.68867 \dots x}{100000000000}

Divide the numbers:

\frac{5.68867 \dots}{100000000000} = 5.68867 E - 11

= 5.68867 E - 11 x

x e^{- x} \frac{d}{d x} (d x)

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

e^{- 683}

4 \cdot 1 0^{- 5} \cdot \frac{0.09499}{0.00 5 ^{2}}

(- \frac{20 e ^{- 3 t}}{3}) \cdot (e^{- 5 t})

What is (10)(8.85x10^{-12})cos(-50) ?
The solution to (10)(8.85x10^{-12})cos(-50) is 5.68867E-11x