Question

Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
32^7
(5^2)^9
10^8 x 10^8
6^2 x 7^3

Answer 1

Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7 ?(1 point)
100^56
10,000^15
200^15
100^15

Answer 2

Find the numerical equivalent of 2^5 ⋅2^−2 (1 point)
2
128
16
8

Answer 3

Find the numerical equivalent of 4^9⋅4^−7 (1 point)
4^2
4^16
4
16

Answer 4

Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2 .(1 point)

Answer 5

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

Answer 6

The correct answer is "100^15". By applying the Product Rule of Exponents, we add the exponents when multiplying powers with the same base, hence 100^8⋅100^7 simplifies to 100^15.

Answer 7

To find the numerical equivalent of 2^5 ⋅2^−2, we can simplify the expression using the Product Rule of Exponents. The rule states that when multiplying powers with the same base, we add the exponents.

2^5 ⋅2^−2 = 2^(5 + -2) = 2^3

So, the numerical equivalent of 2^5 ⋅2^−2 is 8.

Answer 8

To find the numerical equivalent of 4^9⋅4^−7, we can simplify the expression using the Product Rule of Exponents. The rule states that when multiplying powers with the same base, we add the exponents.

4^9⋅4^−7 = 4^(9 + -7) = 4^2

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

Answer 9

To simplify the expression 2^4 ⋅2^2 using the Product Rule of Exponents, we add the exponents:

2^4 ⋅2^2 = 2^(4 + 2) = 2^6

So, the simplified expression is 2^6.