Product Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Find the numerical equivalent of 3^9⋅3^−5(1 point)
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.
To find the numerical equivalent of 3^9⋅3^−5, we can apply the product rule of exponents. According to the product rule, when multiplying two numbers with the same base, we can add the exponents.
In this case, we have 3^9⋅3^−5. The base is 3, and the exponents are 9 and -5.
Applying the product rule, we add the exponents:
3^9⋅3^−5 = 3^(9 + -5)
Simplifying the exponent:
3^9⋅3^−5 = 3^4
Therefore, the numerical equivalent of 3^9⋅3^−5 is 3^4.