Question

Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

x10z7

x14z15

1 over x to the 10th power times z to the 7th power

1 over x to the 14th power times z to the 15th power

Answer 1

\[\frac{ x ^{12} z ^{11} }{ x^2z^4 }\]

\[x ^{12-2}z ^{11-4}\]

\[x ^{10}z ^{7}\]

Answer 2

oh thank you

Answer 3

My Pleasure.

Answer 4

when you are dividing powers of the same variable
you can combine them into one variable with a single power
by just subtracting the powers (top minus bottom power)
and that's all there is to it.