Product Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Find the numerical equivalent of 7^2⋅7^3(1 point)
The numerical equivalent of 7^2⋅7^3 is calculated by adding the exponents together.
7^2⋅7^3 = 7^(2+3) = 7^5
Therefore, the numerical equivalent is 7^5.
To find the numerical equivalent of 7²⋅7³, we can use the product rule of exponents which states that when multiplying two numbers with the same base, you add their exponents.
In this case, the base is 7, and we have 7² and 7³.
Using the product rule, we add the exponents:
7²⋅7³ = 7^(2+3)
Adding the exponents gives us:
7^(2+3) = 7^5
Thus, the numerical equivalent of 7²⋅7³ is 7^5.