What is (1.45x10^{-3})x(6.77x10^2) ?

The solution to (1.45x10^{-3})x(6.77x10^2) is (981.65x^3)/(1000)

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simplify (1.45x10^{-3})x(6.77x10^2)

simplify

(1.45 x 1 0^{- 3}) x (6.77 x 1 0^{2})

\frac{981.65 x ^{3}}{1000}

Solution steps

(1.45 x \cdot 1 0^{- 3}) x (6.77 x \cdot 1 0^{2})

Simplify

1.45 x \cdot 1 0^{- 3} : \frac{1.45 x}{1000}

= \frac{1.45 x}{1000} x \cdot 6.77 x \cdot 1 0^{2}

1 0^{2} = 100

= \frac{1.45 x}{1000} x \cdot 6.77 x \cdot 100

Multiply the numbers:

6.77 \cdot 100 = 677

= \frac{1.45 x}{1000} x \cdot 677 x

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{1.45 x}{1000} x^{2} \cdot 677

= 677 x^{2} \frac{1.45 x}{1000}

Apply the fraction rule:

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

= \frac{677 x ^{2} \cdot 1.45 x}{1000}

Simplify

677 x^{2} \cdot 1.45 x : 981.65 x^{3}

= \frac{981.65 x ^{3}}{1000}

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What is (1.45x10^{-3})x(6.77x10^2) ?
The solution to (1.45x10^{-3})x(6.77x10^2) is (981.65x^3)/(1000)