Answer: All are true
a. (10^5)^3 = 10^(5×3)
Is correct, because law of indices say when we have a power inside and outside the bracket, so we have to multiply the powers. It will be 10^15
b. 10^5 / 10^3 = 10^(5-3)
when expression of the same base is divide, so subtract the powers. It will be 10^2
It is correct
c. 10^5 × 10^3 = 10^(5+3)
when expression of the same base is multiply, so add the powers. It will be 10^(8)
It is correct
d. 10^5 / 10^3 =10^(5-3)
/ it also a division
It the same as b.
Subtract the powers
It will be 10^2
It also correct
So all the expressions are correct.