College Algebra

posted by .

Last one for today! Again would appreciate a breakdown on how to get to a resolution. It is multiple choice.

1. Simplify the expression using the quotient to a power property. (3y^6/z^7)^3
a. 27y^9/z^7
b. 3y^9/z^10
c. 27y^18/z^7
d. 27y^18/z^21

2. Use a descriptive variable and an inequality symbol to write a model for the statement. The Thompson family will spend more than 14,000 on home improvement.

a. Let a represent the amount. a < $14,000 b. Let a represent the amount. a <$14,000
c. Let a represent the amount. a > $14,000 d. Let a represent the amount. a >$14,000

3. Simplify and subtract (if possible). 10ã27x-ã75x
a. 25ã3x
b. 10ã48x
c. 25xã3
d. Cannot be subtracted

4. Rewrite the expression as a single term. 1/r-1/s+1/t
a. St+rt-rs/r-s+t
b. 1/r-s+t
c. St+rt-rs/rst
d. St-rt+rs/rst

5. Factor the difference of perfect cubes completely. 27a^3-1000
a. (3a+10)(9a^2-100)
b. (3a-10)(9a^2+100)
c. (3a+10)(9a^2-30a+100)
d. (3a-10)(9a^2+30a+100)

• College Algebra -

(3y^6/z^7)^3
3^3 (y^6)^3 / (z^7)^3
27 y^18/z^21
(D)

"more than" means greater
don't know why a&b and c&d are the same, but (C) or (D) works for me. I assume there should have been <= or >= in there. You want just ">" since we want "more," not just "at least".

10√27x-√75x
10√9√3x - √25√3x
10*3√3x - 5√3x
25√3x
(A)

1/r-1/s+1/t
put over a common denominator: rst

st/rst - rt/rst + rs/rst
(st-rt+rs)/(rst)
(D) assuming the usual sloppiness with parentheses

27a^3-1000
(3a)^3 - 10^3
(3a-10)(9a^2+30a+100)
(D)

Respond to this Question

 First Name School Subject Your Answer

Similar Questions

1. 7th grade algebra

[(-5)^2]^5=(-5)^10 Tell whether the product of powers property, the power of the power property, or the power of the product property can be used to simplify the expression?
2. College Algebra

I need some help with a few problems. They are multiple choice but need a breakdown on how I can work the problems. Thanks for your help! 1. Factor the trinomial completely. 10x^2 + 11x-6 a. (2x+3)(5x-2) b. (2x-3)(5x+2) c. (10x+3)(x-2) …
3. College Algebra

I have a few more questions that I'm not understanding. Its multiple choice however I would appreciate a breakdown on how to solve. 1.Evaluate without a calculator, using the order of operations. -2^2+20-|8-20|-squareroot of 64 a. …
4. College Algebra

I have a few more questions that I'm not understanding. Its multiple choice however I would appreciate a breakdown on how to solve. 4.Simplify the compound rational expression. Use either method. 1+(5/y-10)/y+(25/y-10) a. 1/y-5 b. …
5. MA 107 college algebra

Simplify the expression using the power rule.(3to the power of 2)to the power of 5
6. Math Pre-Algebra

Simplify the Expression(-8/15)+(1/15). Show how to simplify in steps, using a property of operations for each step. Explain the property you use in each step. Can you help me please?
7. Algebra

1. Use the Distributive Property to simplify the expression. (-1)(4-c) 2. Use the Distributive Property to simplify the expression. 4(2x -4) 3. Use the Distributive Property to simplify the expression. (10 + 4 y) 1/2 4. To which subsets …
8. Algebra

1. Use the Distributive Property to simplify the expression. (-1) (4-c) 2. Use the Distributive Property to simplify the expression. 4 (2 x - 4) 3. Use the Distributive Property to simplify the expression (10+4y) 1/2 4. To which subsets …
9. algebra

am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt 135y^2
10. College Algebra. Please Help.

Use the quotient property to simplify roots. \sqrt{\frac{27a^{13}}{b^{12}}}

More Similar Questions