Find the numerical equivalent of 10^2 ⋅10^3
To find the numerical equivalent of 10^2 ⋅ 10^3, we start by applying the rule for multiplying powers with the same base. This rule states that when you multiply powers with the same base, you add their exponents.
In this case, we have 10^2 multiplied by 10^3.
10^2 means 10 raised to the power of 2, which is equal to 10 × 10 = 100.
10^3 means 10 raised to the power of 3, which is equal to 10 × 10 × 10 = 1000.
Now, we can multiply the numerical values obtained:
100 × 1000 = 100,000.
Therefore, the numerical equivalent of 10^2 ⋅ 10^3 is 100,000.
To find the numerical equivalent of 10^2 ⋅ 10^3, we can simplify the expression by adding the exponents of 10:
10^2 ⋅ 10^3 = 10^(2+3) = 10^5
Therefore, the numerical equivalent of 10^2 ⋅ 10^3 is 10^5.