What is (4.2x10^8)*(3x10^{-4}) ?

The solution to (4.2x10^8)*(3x10^{-4}) is 126000x^2

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simplify (4.2x10^8)*(3x10^{-4})

simplify

(4.2 x 1 0^{8}) \cdot (3 x 1 0^{- 4})

126000 x^{2}

Solution steps

(4.2 x \cdot 1 0^{8}) (3 x \cdot 1 0^{- 4})

Simplify

3 x \cdot 1 0^{- 4} : \frac{3 x}{10000}

= 4.2 x \cdot 1 0^{8} \cdot \frac{3 x}{10000}

Apply the fraction rule:

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

= \frac{4.2 x \cdot 1 0 ^{8} \cdot 3 x}{10000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{4.2 x ^{2} \cdot 1 0 ^{8} \cdot 3}{10000}

Cancel

\frac{4.2 x ^{2} \cdot 1 0 ^{8} \cdot 3}{10000} : 4.2 x^{2} \cdot 1 0^{4} \cdot 3

= 4.2 x^{2} \cdot 1 0^{4} \cdot 3

Multiply the numbers:

4.2 \cdot 3 = 12.6

= 12.6 x^{2} \cdot 1 0^{4}

= 1 0^{4} \cdot 12.6 x^{2}

1 0^{4} = 10000

= 10000 \cdot 12.6 x^{2}

Multiply the numbers:

10000 \cdot 12.6 = 126000

= 126000 x^{2}

2 x^{2} (A x e^{x^{2}})

\frac{, ( y )}{x}

\frac{e ^{x}}{e ^{7 + x}}

e^{- 0.5 x^{2}} x^{2}

What is (4.2x10^8)*(3x10^{-4}) ?
The solution to (4.2x10^8)*(3x10^{-4}) is 126000x^2