Question

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

Answer 1

If were talking about this equation

Then the answer on edg is C

Answer 2

Let us consider the expression:

`(a^5\cdot b^6)/(a^2\cdot b^9)` (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

`a^(5-2)\cdot b^(6-9)`

`\Rightarrow a^(3)\cdot b^(-3)`.