How do you calculate # (-5.475times10^7) div (3.65times10^2)#?

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Answer 1 · 2017-05-31T10:34:25

#(-5.475xx10^7)-:(3.65xx10^2)=color(blue)(-1.5xx10^5#

Simplify.

Rewrite the expression as a fraction.

#(-5.475xx10^7)/(3.65xx10^2)#

Divide the coefficients.

#-5.475/3.65=-1.5#

Divide the exponents on the base #10#. Apply the quotient rule of exponents: #a^m/a^n=a^(m-n)#

#10^7/10^2=10^(7-2)=10^5#

Put the coefficient and the base 10 with 5 exponent together.

#-1.5xx10^5#