Fully simplify and write your answer in exponential form with positive exponents only.

Question

1/y^8 * 1/y^9 =

Answer 1

To fully simplify and write the expression in exponential form with positive exponents only, we can combine the two terms with the same base, y.

Applying the exponent rule that states "When dividing like bases, subtract the exponents," we have:

1/y^8 * 1/y^9 = 1/(y^8 * y^9)

Then, using the exponent rule that states "When multiplying like bases, add the exponents," we get:

1/(y^8 * y^9) = 1/y^(8+9)

Simplifying the exponent:

1/y^17

Therefore, the fully simplified expression written in exponential form with positive exponents only is 1/y^17.