Find the numerical equivalent of 10^2 ⋅10^3 (1 point)
Responses
10^5
10
100,000
1,100
The numerical equivalent of 10^2 ⋅10^3 is 10^5.
Find the numerical equivalent of 2^5 ⋅2^−2 (1 point)
Responses
2
8
16
128
The numerical equivalent of 2^5 ⋅2^−2 is 32.
Find the numerical equivalent of 4^9⋅4^−7 (1 point)
4^16
4
4^2
16
The numerical equivalent of 4^9⋅4^−7 is 4^2, which is equal to 16.
To find the numerical equivalent of 10^2 ⋅ 10^3, we need to multiply the two exponents together.
10^2 ⋅ 10^3 = 10^(2 + 3) = 10^5
Therefore, the numerical equivalent is 10^5 or 100,000.
To find the numerical equivalent of 10^2 ⋅ 10^3, we can use the property of exponents that states when you multiply numbers with the same base, you simply add their exponents.
In this case, the base is 10. The first exponent is 2, and the second exponent is 3. By adding the exponents together, we get 2 + 3 = 5.
So, 10^2 ⋅ 10^3 is equal to 10^5.
Therefore, the correct numerical equivalent is 100,000.