Product Rule of Exponents Practice

Question

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Find the numerical equivalent of 3^9⋅3^−5(1 point)

Answer 1

To find the numerical equivalent of 3^9⋅3^−5, we can use the product rule of exponents, which states that when multiplying powers with the same base, we add the exponents.

So, 3^9⋅3^−5 can be written as 3^(9 + -5).

Adding the exponents, we get 3^4.

Therefore, the numerical equivalent of 3^9⋅3^−5 is 3^4, or 81.