What is (3.4x10^{-9})x(4.9x10^{11}) ?

The solution to (3.4x10^{-9})x(4.9x10^{11}) is 1666x^3

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simplify (3.4x10^{-9})x(4.9x10^{11})

simplify

(3.4 x 1 0^{- 9}) x (4.9 x 1 0^{11})

1666 x^{3}

Solution steps

(3.4 x \cdot 1 0^{- 9}) x (4.9 x \cdot 1 0^{11})

Simplify

3.4 x \cdot 1 0^{- 9} : \frac{3.4 x}{1000000000}

= \frac{3.4 x}{1000000000} x \cdot 4.9 x \cdot 1 0^{11}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{3.4 x}{1000000000} x^{2} \cdot 4.9 \cdot 1 0^{11}

= 1 0^{11} \cdot 4.9 x^{2} \frac{3.4 x}{1000000000}

Apply the fraction rule:

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

= \frac{1 0 ^{11} \cdot 4.9 x ^{2} \cdot 3.4 x}{1000000000}

Cancel

\frac{1 0 ^{11} \cdot 4.9 x ^{2} \cdot 3.4 x}{1000000000} : 1 0^{2} \cdot 4.9 x^{2} \cdot 3.4 x

= 1 0^{2} \cdot 4.9 x^{2} \cdot 3.4 x

Multiply the numbers:

4.9 \cdot 3.4 = 16.66

= 1 0^{2} \cdot 16.66 x^{2} x

Simplify

x^{2} x : x^{3}

= 1 0^{2} \cdot 16.66 x^{3}

1 0^{2} = 100

= 100 \cdot 16.66 x^{3}

Multiply the numbers:

100 \cdot 16.66 = 1666

= 1666 x^{3}

(- 2 \cdot (- 2)) e^{- 2 \cdot 3}

(- 2 \cdot (- 2)) e^{- 2 \cdot 4}

e^{- 0.00003133}

((x - 3) (x + 2))^{\frac{1}{2}}

e^{(- 6.52)}

What is (3.4x10^{-9})x(4.9x10^{11}) ?
The solution to (3.4x10^{-9})x(4.9x10^{11}) is 1666x^3