simplify the expression given below. 5^-3 • 5^7/5^2
A. 1/3,125
B. 25
C. 1/125
D. 625
5^-3 is equivalent to 1/5^3
Therefore, 5^-3 • 5^7 / 5^2 simplifies to 1/5^3 • 5^7 / 5^2
This can be simplified further by adding the exponents when multiplying like bases:
= 5^(7-3) / 5^2
= 5^4 / 5^2
= 5^(4-2)
= 5^2
Therefore, the simplified expression is 25.
B. 25