What is (-5^2+10^2)/((2*(-5)*3)+3^3)?

2 Answers
Mar 31, 2017

See the entire solution process below:

Explanation:

First, evaluate the terms with exponents in the numerator and the denominator:

(-5^2 + 10^2)/((2 * (-5) * 3) + 3^3) = (25 + 100)/((2 * (-5) * 3) + 27)

Next, multiply, left to right, the terms in parenthesis in the denominator:

(25 + 100)/((2 * (-5) * 3) + 27) = (25 + 100)/((-10 * 3) + 27) =

(25 + 100)/(-30 + 27)

Then, add the terms in the numerator and add the terms in the denominator:

125/-3 = -125/3

Mar 31, 2017

color(blue)(-41 2/3

Explanation:

(-5^2+10^2)/((2*(-5)*3)+3^3)

:.=(25+100)/((-30)+27)

:.=125/-3

:.=color(blue)(-41 2/3