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Math helpppp please? Unit finals and i suck at the fractions.?

1. (-4x)^2?

2.(3m/2n)^3?

3.- (xy^2)^3?

(Woo, fun part-not-, word problemss!!)

4. A jar contains 54 pennies, and 2/3 of the coins in the jar are pennies. How
many coins c are in the jar?

5. A guide-dog training center took 1/2 of the puppies at the dog pound.
Steve took 1/2 of the remaining.Tanya took the 5 that were left. How
many puppies were there to begin with?

6. Write a word problem that could be solved with the equation x - 3/4 = 6 3/4


Thanks again, For five i (think) the answer is 20, but im not fully sure? Feel free to ask any language or science questions. Math and Social I'm NOT anywhere near good at. It'll be helpful to explain the answers and how to get to the sum, so it's a learning expirience instead of just get the answers given to me [:

1. (-4x)^2?

(-4x)(-4x) right?

(-4)(x)(-4)(x) right?

16x^2 right?

2. (3m/2n)^3

3m 3m 3m
----- x ----- x -----
2n 2n 2n

27m^3
---------
8n^3

3. -(xy^2)^3

i feel like i agree with previous poster but i feel that the answer is actually negative.
assuming we must apply the exponent before the negative outside the parenthesis in accordance with order of operations, then wouldn't it look like this?
-{(xy^2)(xy^2)(xy^2)}

so that would go to:
count x's and y's
-(x^3y^6)

I'm not calling out previous poster. this is just my take on it.

4. A jar contains 54 pennies, and 2/3 of the coins in the jar are pennies. How
many coins c are in the jar?

2/3 of the coins are pennies
pennies are 54
2/3 of the coins are 54
2/3 of unknown is 54
2/3 (of means multiply in word problems) X unknown (is means equals in word problems) = 54
2/3 x X = 54
X = 54 / (2/3)
X = 81 coins

5. A guide-dog training center took 1/2 of the puppies at the dog pound.
Steve took 1/2 of the remaining.Tanya took the 5 that were left. How
many puppies were there to begin with?

ok let's track puppies (gonna be X)
first, had X, then lost half so, (x-(1/2)(x))
then lost half of that which is expressed as -(1/2)(x-(1/2)(x))
then there were 5 left. so...
X - (1/2)X - (1/2)(X-(1/2X))=5
^distributive property applies here! ex. -(1/2)(X) + (1/4)X
^neg (1/2) and neg (1/2)make pos
X - (1/2)X - (1/2)X + (1/4)X = 5
look at all the coefficients 1 - (1/2) - (1/2) + (1/4) = 1/4
1/4x=5
x=5 / (1/4)
x=20

6. Write a word problem that could be solved with the equation x - 3/4 = 6 3/4

actually i like the previous poster's word problem.

Guide Dog Training : Guide Dog Training: Curbs


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