Question

Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7

A^11b^17

1/a^11b^17

1/a^7b^3

A^7b^3

Answer 1

a^7 b^3

Explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3