# 1)Simplify:(3x^0y^-4)(2x^2y)^3

answer=6x^6 over y

2)Simplify:2x^2y^5z^-4 over 8x^6yz^3

answer= y^4 over 4x^4z

3)Saturn is 1.4 x 10^9 kilometers away from the sun. If light travels 3.0 x 10^4 km per second,how long does it take light from the sun to reach saturn? Express the answer in scientific notation.

answer= 4.7 x 10^4 sec.

4)Simplify:(7x^3 - 2x^2 +3)+(x^2-x-5)

answer= 7x^3 -3x^2 -2

5)Simplify:(5x-4)^2

answer= 25x^2 - 16

1) No. You did not cube the 2 in the second paren.

2) No. Redo the z

4) recheck the x^2 and the x terms.

5) No. Think FOIL. What is the middle term.

1) No. You did not cube the 2 in the second paren.

2) No. Redo the z

4) recheck the x^2 and the x terms.

5) No. Think FOIL. What is the middle term.

1)216x^6 over y

2)y^4 over 4x^4z^7

4)7x^3-2x^2-x-2

5)I don't get it but is it 25x^2-20x+16

1. I don't kinow how you got 216. 2^3 is 8 and that times 3 is 24. (I think you cubed 2 and cubed 3, then multiplied them together to get 216 BUT the problem doesn't say to cube 3. The only number cubed is 2.

2. ok.

I didn't do the others.

so it's 24x^6 over y

That's what I get. Check it out.

## To simplify the expression (3x^0y^-4)(2x^2y)^3, we need to apply the rules of exponents.

1. First, let's simplify the exponent of 3x^0y^-4. Any number raised to the power of zero is equal to 1, so 3x^0 simplifies to 3*1 = 3.

2. Next, let's simplify (2x^2y)^3. To raise a power to another power, we multiply the exponents. So (2x^2y)^3 becomes 2^3 * (x^2)^3 * (y)^3 = 8x^6y^3.

Now, let's multiply the simplified expressions together:

3 * 8x^6y^3 = 24x^6y^3.

Therefore, the simplified form of (3x^0y^-4)(2x^2y)^3 is 24x^6y^3.