What is (3.73x10^{-1})x(1.2x10^2) ?

The solution to (3.73x10^{-1})x(1.2x10^2) is 44.76x^3

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simplify (3.73x10^{-1})x(1.2x10^2)

simplify

(3.73 x 1 0^{- 1}) x (1.2 x 1 0^{2})

44.76 x^{3}

Solution steps

(3.73 x \cdot 1 0^{- 1}) x (1.2 x \cdot 1 0^{2})

Simplify

3.73 x \cdot 1 0^{- 1} : \frac{3.73 x}{10}

= \frac{3.73 x}{10} x \cdot 1.2 x \cdot 1 0^{2}

1 0^{2} = 100

= \frac{3.73 x}{10} x \cdot 1.2 x \cdot 100

Multiply the numbers:

1.2 \cdot 100 = 120

= \frac{3.73 x}{10} x \cdot 120 x

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{3.73 x}{10} x^{2} \cdot 120

= 120 x^{2} \frac{3.73 x}{10}

Apply the fraction rule:

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

= \frac{120 x ^{2} \cdot 3.73 x}{10}

Divide the numbers:

\frac{120}{10} = 12

= 12 x^{2} \cdot 3.73 x

Multiply the numbers:

12 \cdot 3.73 = 44.76

= 44.76 x^{2} x

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 44.76 x^{2 + 1}

Add the numbers:

2 + 1 = 3

= 44.76 x^{3}

(6.63 \cdot 1 0^{- 34}) \cdot 3 \cdot 1 0^{9}

e^{- 32.341}

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

e^{\frac{x}{2}} \cdot (- \frac{1}{2}) e^{- \frac{x}{2}}

What is (3.73x10^{-1})x(1.2x10^2) ?
The solution to (3.73x10^{-1})x(1.2x10^2) is 44.76x^3