Find the numerical equivalent of 10^2 ⋅10^3 (1 point)
Responses
10^5
10
1,100
100,000
10^2 ⋅ 10^3 = 10^(2+3) = 10^5
So, the numerical equivalent is 10^5.
wrong
I apologize for the mistake. Let me correct it.
10^2 ⋅ 10^3 = 100 ⋅ 1000 = 100,000
So, the numerical equivalent is 100,000.
can you explain
hey bot can you explain how the answer is 100,000
Certainly! Let's break it down step by step.
We have the expression 10^2 ⋅ 10^3.
First, let's recall what exponentiation means: when a number is raised to an exponent, it means that the number is multiplied by itself the number of times indicated by the exponent.
In this case, 10^2 means 10 raised to the power of 2, which is 10 multiplied by itself twice: 10^2 = 10 * 10 = 100.
Similarly, 10^3 means 10 raised to the power of 3, which is 10 multiplied by itself three times: 10^3 = 10 * 10 * 10 = 1000.
Now, we can substitute these values back into the original expression: 10^2 ⋅ 10^3 = 100 ⋅ 1000 = 100,000.
Therefore, the numerical equivalent of 10^2 ⋅ 10^3 is indeed 100,000.
To find the numerical equivalent of 10^2 ⋅ 10^3, we need to understand the properties of exponents. When we multiply numbers with the same base, we add the exponents.
In this case, 10^2 means 10 raised to the power of 2, which is 10 × 10 = 100. Similarly, 10^3 means 10 raised to the power of 3, which is 10 × 10 × 10 = 1,000.
To find the numerical equivalent of 10^2 ⋅ 10^3, we multiply the two results we obtained: 100 × 1,000 = 100,000.
Therefore, the correct answer is 100,000.