How do you simplify and write #(3.2times10^6) (2.6times10^4)# in standard form?

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Answer 1 · 2018-03-16T12:26:13

See a solution process below:

First, rewrite the expression as:

#(3.2 xx 2.6)(10^6 xx 10^4) =>#

#8.32 xx (10^6 xx 10^4)#

Next, 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))#

#8.32 xx (10^color(red)(6) xx 10^color(blue)(4)) =>#

#8.32 xx 10^(color(red)(6)+color(blue)(4)) =>#

#8.32 xx 10^10#

To write this in standard form, because the exponent of 10s term is positive we need to move the decimal point 10 places to the right:

#8.32 xx 10^10 =>#

#83,200,000,000#