# 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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