What is (3.4x10^5)(1.2x10^{-3}) ?

The solution to (3.4x10^5)(1.2x10^{-3}) is 408x^2

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simplify (3.4x10^5)(1.2x10^{-3})

simplify

(3.4 x 1 0^{5}) (1.2 x 1 0^{- 3})

408 x^{2}

Solution steps

(3.4 x \cdot 1 0^{5}) (1.2 x \cdot 1 0^{- 3})

Simplify

1.2 x \cdot 1 0^{- 3} : \frac{1.2 x}{1000}

= 3.4 x \cdot 1 0^{5} \cdot \frac{1.2 x}{1000}

Apply the fraction rule:

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

= \frac{3.4 x \cdot 1 0 ^{5} \cdot 1.2 x}{1000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{3.4 x ^{2} \cdot 1 0 ^{5} \cdot 1.2}{1000}

Cancel

\frac{3.4 x ^{2} \cdot 1 0 ^{5} \cdot 1.2}{1000} : 3.4 x^{2} \cdot 1 0^{2} \cdot 1.2

= 3.4 x^{2} \cdot 1 0^{2} \cdot 1.2

Multiply the numbers:

3.4 \cdot 1.2 = 4.08

= 4.08 x^{2} \cdot 1 0^{2}

= 1 0^{2} \cdot 4.08 x^{2}

1 0^{2} = 100

= 100 \cdot 4.08 x^{2}

Multiply the numbers:

100 \cdot 4.08 = 408

= 408 x^{2}

(- 5)^{3}

e^{- (x + 1)}

\frac{6 , 0 \cdot 1 0 ^{24} \cdot 50}{640 0 ^{2}} \cdot 6.67 \cdot 1 0^{- 11}

(4 a^{2}) (6 a^{2})

- \frac{1}{3} e^{- 3 (0)}

What is (3.4x10^5)(1.2x10^{-3}) ?
The solution to (3.4x10^5)(1.2x10^{-3}) is 408x^2