Which expression is correctly developed to use the Product Rule of Exponents?(1 point)

Question

Responses

32^7

(5^2)^9

10^8⋅10^8

6^2⋅7^3

Answer 1

The expression that is correctly developed to use the Product Rule of Exponents is 10^8⋅10^8.

Answer 2

Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses

100^15

100^56

10,000^15

200^15

Answer 3

The correct response is 10,000^15.

Answer 4

Find the numerical equivalent of 10^2 ⋅10^3

Answer 5

To find the numerical equivalent of 10^2 ⋅10^3, we can use the Product Rule of Exponents, which states that when multiplying two numbers with the same base, you can add their exponents.

In this case, both exponents are positive integers, so we can add them:
10^2 ⋅10^3 = 10^(2+3) = 10^5

Therefore, the numerical equivalent of 10^2 ⋅10^3 is 10^5 = 100,000.

Answer 6

Find the numerical equivalent of 2^5 ⋅2^−2

Answer 7

To find the numerical equivalent of 2^5 ⋅2^−2, we can use the Product Rule of Exponents, which states that when multiplying two numbers with the same base, you can add their exponents.

In this case, we have 2^5 ⋅2^−2. Adding their exponents, we get:
2^(5+(-2)) = 2^3

So the numerical equivalent of 2^5 ⋅2^−2 is 2^3, which is equal to 8.

Answer 8

Find the numerical equivalent of 4^9⋅4^−7

Answer 9

To find the numerical equivalent of 4^9⋅4^−7, we can use the Product Rule of Exponents, which states that when multiplying two numbers with the same base, you can add their exponents.

In this case, we have 4^9 ⋅4^−7. Adding their exponents, we get:
4^(9 + (-7)) = 4^2

So the numerical equivalent of 4^9 ⋅4^−7 is 4^2, which is equal to 16.