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

1 Answer
May 31, 2017

Answer:

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

Explanation:

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#