Which expression is correctly developed to use the Product Rule of Exponents?

(5^2)^9
(5 squared in parentheses to the 9th power)

32^7
(32 to the 7th power)

6^2 ⋅ 7^3
(6 squared times 7 cubed)

10^8 ⋅ 10^8
(10 to the 8th power times 10 to the 8th power)

5 answers

6^2 ⋅ 7^3
(6 squared times 7 cubed)
Find the numerical equivalent of 10^2 ⋅10^3

10

10^5

1,100

100,000
10^2 ⋅10^3 = 100,000
Find the numerical equivalent of 2^5 (2 to the 5th power) ⋅ 2^-2 (2 to the 2nd power but negative)

128

8

16

2
2^5 (2 to the 5th power) ⋅ 2^-2 (2 to the 2nd power but negative) = 2^(5-2) = 2^3 = 8
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