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

Question

1105 views around the world

You can reuse this answer
Creative Commons License

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.