Which of the following expressions is true?

A: 4^3x4^5<4^12
B: 5^2x5^3>5^5
C: 3^2x3^4=3^2
D: 5^2x5^4=5^8

1 answer

D: 5^2x5^4=5^8

When multiplying exponential expressions with the same base, you add the exponents. Therefore:

A: 4^3x4^5 = 4^(3+5) = 4^8 which is NOT less than 4^12.
B: 5^2x5^3 = 5^(2+3) = 5^5 which is NOT greater than 5^5.
C: 3^2x3^4 = 3^(2+4) = 3^6 which is NOT equal to 3^2.
D: 5^2x5^4 = 5^(2+4) = 5^8, which IS equal to 5^8.
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