How do you simplify #(5times10^3)(1.8times10^-7)#?

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Answer 1 · 2017-07-23T01:44:23

The answer is #9xx10^(-4)#.

Refer to the explanation for the process.

Simplify:

#(5xx10^3)(1.8xx10^(-7))#

This expression can be rewritten as follows:

#5xx10^3xx1.8xx10^(-7)#

Gather like terms.

#5xx1.8xx10^3xx10^(-7)#

Multiply the coefficients #5# and #1.8#.

#5xx1.8=9#

Apply the product rule of exponents #a^ma^n=a^(m+n)#.

#10^3xx10^(-7)=#

#10^((3+(-7))=#

#10^(-4)#

Put the coefficient and base together.

#9xx10^(-4)#