How do you multiply #(6.410^4)(8.610^8)#?

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Answer 1 · 2015-04-02T12:03:34

Multiply the numbers and add the #10#powers:

#(6.4*10^4)(8.6*10^8)=(6.4*8.6)*10^(4+8)#

#=55*10^12=5.5*10^13#

(decimal point one to the left = power up by one)

Answer 2 · 2015-04-02T12:17:28

The answer is #5.5xx10^13#.

First, multiply the coefficients and add the exponents.

#(6.4xx10^4)(8.6xx10^8)=(6.4)(8.6)xx10^((4+8))=55xx10^12#

Second, move the decimal to the left one place and increase the exponent by one so that the answer is in the correct scientific notation format.

#55xx10^12=5.5xx10^13#

How do you multiply #(6.4*10^4)(8.6*10^8)#?