Simplify each expression. Your answer should still be in exponential form. Make sure that you combine all numbers with the same base.
y^a/y^b
When multiplying/dividing, exponents are added/subtracted respectively.
y^a-b
When multiplying/dividing, exponents are added/subtracted respectively.
y^(a-b)
To simplify the expression y^a/y^b, we can apply the quotient rule of exponents. According to the quotient rule, when dividing two exponential expressions with the same base, we subtract the exponents.
So, to simplify y^a/y^b:
1. Keep the base the same (which is y).
2. Subtract the exponent of the denominator (y^b) from the exponent of the numerator (y^a).
Therefore, the simplified expression is y^(a - b).