What is (2.5x10^{-3})(10x10^5) ?

The solution to (2.5x10^{-3})(10x10^5) is 2500x^2

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simplify (2.5x10^{-3})(10x10^5)

simplify

(2.5 x 1 0^{- 3}) (10 x 1 0^{5})

2500 x^{2}

Solution steps

(2.5 x \cdot 1 0^{- 3}) (10 x \cdot 1 0^{5})

Simplify

2.5 x \cdot 1 0^{- 3} : \frac{2.5 x}{1000}

= \frac{2.5 x}{1000} \cdot 10 x \cdot 1 0^{5}

10 \cdot 1 0^{5} = 1 0^{6}

= \frac{2.5 x}{1000} \cdot 1 0^{6} x

= 1 0^{6} x \frac{2.5 x}{1000}

Apply the fraction rule:

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

= \frac{1 0 ^{6} x \cdot 2.5 x}{1000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{1 0 ^{6} x ^{2} \cdot 2.5}{1000}

Cancel

\frac{1 0 ^{6} x ^{2} \cdot 2.5}{1000} : 1 0^{3} x^{2} \cdot 2.5

= 1 0^{3} x^{2} \cdot 2.5

1 0^{3} = 1000

= 1000 x^{2} \cdot 2.5

Multiply the numbers:

1000 \cdot 2.5 = 2500

= 2500 x^{2}

(0.2)^{2} \cdot Z^{- 2}

e^{- \frac{1}{2} x^{2} = k}

(e^{2 x^{2}})^{- 1}

e^{- (0.031) (20)}

((\frac{2}{3})^{'})^{- 3}

What is (2.5x10^{-3})(10x10^5) ?
The solution to (2.5x10^{-3})(10x10^5) is 2500x^2