Question

Simplify the following expression and write it in an exponential function form.

(b11 b-7)/4b-5, where b is a constant.

Answer 1

1/4 b^9

Explanation:

(b^11 b^-7)/4b^-5

We know x^y * x^z = x^(y+z)

b^11 * b^ -7 = b^ (11-7) = b^4

(b^11 b^-7)/4b^-5

b^4 / 4 b^-5

We know x^y / x^z = x^(y-z(

b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9

1/4 b^9