Algebra Check

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What is the simplified form of 3a^4b^-2c^3?

a. (81a^4c^3)/(b^2)

b. (81a^4)/(b^2c^3)

c. (3a^4)/(b^2c^3)

d. (3a^4c^3)/(b^2)

D

What is -a^-2 if a = -5?

a. -25
b. 25
c. -1/25
d. 1/25

D

What is (-m)^-3n if m = 2 and n = -24?

a. 3
b. -3
c. 4
d. -4

A

  • Algebra Check -

    What is the simplified form of 3a^4b^-2c^3?

    a. (81a^4c^3)/(b^2)

    b. (81a^4)/(b^2c^3)

    c. (3a^4)/(b^2c^3)

    d. (3a^4c^3)/(b^2)

    D YES

    What is -a^-2 if a = -5?

    a. -25
    b. 25
    c. -1/25
    d. 1/25

    D No -1/(-5)^2 = -1/25 so C

    What is (-m)^-3n if m = 2 and n = -24?

    a. 3
    b. -3
    c. 4
    d. -4

    A NONE OF THESE. -2^72 is huge. You have a TYPO

  • Algebra Check -

    It is not -3n. It is (-m)^-3 n. So it would be -.125* -24, which is how I did it.

  • Algebra Check -

    [(-m)^-3 ] n

    [1/(-2)^3] (-24)

    (1/-8)(-24)

    3
    YES A

  • Algebra Check -

    Thank you so much! Just one quick question...is it a rule to always simplify first and then substitute, as in question 2?

  • Algebra Check -

    That is up to you.

  • Algebra Check -

    Are all of these correct Damon?

  • Algebra Check -

    all of Damon's answers are correct

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