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19 July, 07:57

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

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  1. 19 July, 08:13
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    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.
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