What is (1.6x10^{15})(4x10^{-1}) ?

The solution to (1.6x10^{15})(4x10^{-1}) is 5^{13}*524288x^2

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simplify (1.6x10^{15})(4x10^{-1})

simplify

(1.6 x 1 0^{15}) (4 x 1 0^{- 1})

5^{13} \cdot 524288 x^{2}

Solution steps

(1.6 x \cdot 1 0^{15}) (4 x \cdot 1 0^{- 1})

Simplify

4 x \cdot 1 0^{- 1} : \frac{2 x}{5}

= 1.6 x \cdot 1 0^{15} \cdot \frac{2 x}{5}

1.6 = \frac{8}{5}

= \frac{8}{5} x \cdot 1 0^{15} \cdot \frac{2 x}{5}

Apply the fraction rule:

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

= \frac{8 x \cdot 1 0 ^{15} \cdot 2 x}{5 \cdot 5}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{8 x ^{2} \cdot 1 0 ^{15} \cdot 2}{5 \cdot 5}

Cancel

\frac{8 x ^{2} \cdot 1 0 ^{15} \cdot 2}{5 \cdot 5} : 8 x^{2} \cdot 5^{13} \cdot 2^{15} \cdot 2

= 8 x^{2} \cdot 5^{13} \cdot 2^{15} \cdot 2

Multiply the numbers:

8 \cdot 2 = 16

= 16 x^{2} \cdot 5^{13} \cdot 2^{15}

= 5^{13} \cdot 2^{15} \cdot 16 x^{2}

2^{15} = 32768

= 5^{13} \cdot 32768 \cdot 16 x^{2}

Multiply the numbers:

32768 \cdot 16 = 524288

= 5^{13} \cdot 524288 x^{2}

e^{- (l n (x + c))}

(x + y)^{- n}

- \frac{1}{10} e^{- 10 (7)}

(5 x^{3} y) (2 x y)

What is (1.6x10^{15})(4x10^{-1}) ?
The solution to (1.6x10^{15})(4x10^{-1}) is 5^{13}*524288x^2