How do you simplify $(4.3times10^-3)(4.5times10^4)$ ?

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Answer 1 · 2017-02-05T11:22:18

See the entire simplification process below:

First, group like terms to rewrite the expression:

$(4.3 xx 10^-3)(4.5 xx 10^4) -> (4.3 xx 4.5)(10^-3 xx 10^4)$

Now, use this rule of exponents to multiply the 10s terms:

$x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))$

$(4.3 xx 4.5)(10^color(red)(-3) xx 10^color(blue)(4)) -> 19.35 xx 10^(color(red)(-3) + color(blue)(4)) ->$

$19.35 x 10^1 -> 19.35 xx 10 -> 193.5$

Or

$1.935 xx 10^2$ in scientific notation form.

How do you simplify (4.3times10^-3)(4.5times10^4)(4.3times10^-3)(4.5times10^4)?