How do you solve #(8.810^8)(3.510^-13)#?

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Answer 1 · 2017-05-06T22:12:51

See the entire solution process below:

First, rewrite this expression as:

#(8.8 * 3.5)(10^8 * 10^-13) =>30.8 * (10^8 * 10^-13)#

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

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

#30.8 * (10^color(red)(8) xx 10^color(blue)(-13)) => 30.8 * 10^(color(red)(8) + color(blue)(-13)) => 30.8 * 10^(-5)#

#3.08 * 10^-4#

Or, in standard notation:

#0.000308#

How do you solve #(8.8*10^8)(3.5*10^-13)#?