How do you simplify $(4.5 \times 10^{4}) (3 \times 10^{8})$ $(4.5times10^4)(3times10^8)$ in scientific notation?

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Answer 1 · 2015-12-02T10:43:33

$1.35 \cdot 10^{13}$ $1.35*10^13$

Multiply the numeric part: $4.5 \cdot 3 = 13.5$ $4.5*3 = 13.5$
Multiply the powers of ten: $10^{4} \cdot 10^{8} = 10^{12}$ $10^4*10^8 = 10^12$

So, the result is $13.5 \cdot 10^{12}$ $13.5 * 10^12$ . To convert it to scientific notation, observe that

$13.5 = 1.35 \cdot 10$ $13.5=1.35 * 10$

and thus the result becomes

$13.5 \cdot 10^{12} = 1.35 \cdot 10 \cdot 10^{12} = 1.35 \cdot 10^{13}$ $13.5 * 10^12 = 1.35 * 10 * 10^12 = 1.35*10^13$

How do you simplify (4.5times10^4)(3times10^8)(4.5×104)(3×108)(4.5times10^4)(3times10^8) in scientific notation?