Question

What is the simplified expression for
for 3^-4 x 2^3 x 3^2/2^4 x 3^-3?

Answer 1

3/2

Explanation:

3^-4 x 2^3 x 3^2/2^4 x 3^-3

base 3 will be numerator and base 2 will be denominator:

3^-4 * 3^2 * 3^3 / 2^4*2^-3

Now add the exponents of the base:

3^-4+2+3/ 2^4-3

3^-4+5/ 2^1

3/2

The correct option is 3/2 ....