(2x^5y)^3 / 36x^8y^6

Question

It's an exponent problem, and I'm not quite sure how to solve the problem.

Answer 1

Simplify ——————— 36

Dividing exponents :

 2.1    23   divided by   22   = 2(3 - 2) = 21 = 2

Equation at the end of step  2  :

2x

15y3 (—————— • x8) • y6 9

Step  3  :

Multiplying exponential expressions :

 3.1    x15 multiplied by x8 = x(15 + 8) = x23

Equation at the end of step  3  :

2x

23y3 —————— • y6 9

Step  4  :

Multiplying exponential expressions :

 4.1    y3 multiplied by y6 = y(3 + 6) = y9

Final result :

 

2x

23y9 —————— 9