What is (2.125x10^{-5})x(8.5x10^{10}) ?

The solution to (2.125x10^{-5})x(8.5x10^{10}) is 10^5*18.0625x^3

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simplify (2.125x10^{-5})x(8.5x10^{10})

simplify

(2.125 x 1 0^{- 5}) x (8.5 x 1 0^{10})

1 0^{5} \cdot 18.0625 x^{3}

Solution steps

(2.125 x \cdot 1 0^{- 5}) x (8.5 x \cdot 1 0^{10})

Simplify

2.125 x \cdot 1 0^{- 5} : \frac{2.125 x}{100000}

= \frac{2.125 x}{100000} x \cdot 8.5 x \cdot 1 0^{10}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{2.125 x}{100000} x^{2} \cdot 8.5 \cdot 1 0^{10}

= 1 0^{10} \cdot 8.5 x^{2} \frac{2.125 x}{100000}

Apply the fraction rule:

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

= \frac{1 0 ^{10} \cdot 8.5 x ^{2} \cdot 2.125 x}{100000}

Cancel

\frac{1 0 ^{10} \cdot 8.5 x ^{2} \cdot 2.125 x}{100000} : 1 0^{5} \cdot 8.5 x^{2} \cdot 2.125 x

= 1 0^{5} \cdot 8.5 x^{2} \cdot 2.125 x

Multiply the numbers:

8.5 \cdot 2.125 = 18.0625

= 1 0^{5} \cdot 18.0625 x^{2} x

Simplify

x^{2} x : x^{3}

= 1 0^{5} \cdot 18.0625 x^{3}

50 (1.54)^{- 5 (1)}

(9 b^{2}) (8 b^{3})

1 0^{- (- 13)}

e^{- \frac{1}{2} l n (1 - 2 u^{3})}

\frac{u ^{2}}{x ^{2}}

What is (2.125x10^{-5})x(8.5x10^{10}) ?
The solution to (2.125x10^{-5})x(8.5x10^{10}) is 10^5*18.0625x^3