Product Rule of Exponents Quick Check
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
1,100
10^5
10 superscript 5 baseline
10
100,000
The correct response is 100,000
To find the numerical equivalent of 102 ⋅ 103, we can use the product rule of exponents, which states that when multiplying two numbers with the same base, you add the exponents.
In this case, the base is 10. So we add the exponents to get:
10^2 ⋅ 10^3 = 10^(2+3) = 10^5
Therefore, the numerical equivalent of 102 ⋅ 103 is 10^5.