How do you simplify #(8\times 10^ { 5} ) \div ( 4\times 10^ { - 3} )#?

2 Answers
Jim G.
Jan 28, 2017

#2xx10^8#

Explanation:

Using the #color(blue)"law of exponents"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^m/a^n=a^(m-n))color(white)(2/2)|)))#

#(8xx10^5)÷(4xx10^-3)" can be expressed as a fraction"#

#"That is " (8xx10^5)/(4xx10^-3)#

The fraction can be #color(blue)"split up"# as follows.

#rArr8/4xx10^5/10^-3#

#=2xx10^((5-(-3)))larr" using above law "#

#=2xx10^8#

Barney V.
Jan 28, 2017

#2 xx 10^8#

Explanation:

#(8 xx 10^5)-:(4 xx 10^-3)#

#:.(8 xx 100000)-:(4 xx 0.001)#

#:.=(800000)-:(0.004)#

#:.800000/0.004#

#:.=200,000,000#

#:.=2 xx 10^8#

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