Identify the equations below that are true. You may wish to watch the video Powers of 10, Part 3 for a review of operations (adding, subtracting, multiplying, dividing) with powers of 10. a. (10^5) ^3=10^5*3b. 10^5:10^3=10^5-3c. 10^5*10^3=10^5+3d. 10^5/10^3=10^5-3

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.