What is simplify-(5x10^{10})1.6x10^{-19} ?

The solution to simplify-(5x10^{10})1.6x10^{-19} is -(x^2)/(64*5^9)

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simplify-(5x10^{10})1.6x10^{-19}

simplify

- (5 x 1 0^{10}) 1.6 x 1 0^{- 19}

- \frac{x ^{2}}{64 \cdot 5 ^{9}}

Solution steps

- (5 x \cdot 1 0^{10}) \cdot 1.6 x \cdot 1 0^{- 19}

Apply exponent rule:

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

1 0^{- 19} = \frac{1}{1 0 ^{19}}

= - 5 x \cdot 1 0^{10} \cdot 1.6 x \frac{1}{1 0 ^{19}}

Multiply the numbers:

- 5 \cdot 1.6 = - 8

= - 8 x \cdot 1 0^{10} x \frac{1}{1 0 ^{19}}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= - 8 x^{2} \cdot 1 0^{10} \cdot \frac{1}{1 0 ^{19}}

= - 1 0^{10} \cdot 8 \cdot \frac{1}{1 0 ^{19}} x^{2}

Apply the fraction rule:

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

= - \frac{1 0 ^{10} \cdot 8 \cdot 1 \cdot x ^{2}}{1 0 ^{19}}

Multiply the numbers:

8 \cdot 1 = 8

= - \frac{1 0 ^{10} \cdot 8 x ^{2}}{1 0 ^{19}}

\frac{1 0 ^{10}}{1 0 ^{19}} = \frac{1}{1 0 ^{9}}

= - \frac{8 x ^{2}}{1 0 ^{9}}

Factor the number:

8 = 2^{3}

= - \frac{2 ^{3} x ^{2}}{1 0 ^{9}}

Factor

1 0^{9} : 2^{9} \cdot 5^{9}

= - \frac{2 ^{3} x ^{2}}{2 ^{9} \cdot 5 ^{9}}

\frac{2 ^{3}}{2 ^{9}} = \frac{1}{2 ^{6}}

= - \frac{x ^{2}}{2 ^{6} \cdot 5 ^{9}}

2^{6} = 64

= - \frac{x ^{2}}{64 \cdot 5 ^{9}}

e^{- 58.39179}

[[(- 3)^{2}]^{2}]^{3}

5.89 \cdot 1 0^{- 5}

(x + 3)^{2} (x - 1)^{2} (6 x + 6)

5.89 \cdot 1 0^{- 4}

What is simplify-(5x10^{10})1.6x10^{-19} ?
The solution to simplify-(5x10^{10})1.6x10^{-19} is -(x^2)/(64*5^9)