SOLUTION: 1) What is the monomial if a cube of a monomial is: a. (1/8)a^(27) b. -(27/64)a^(9)b^(6) c. −0.001a^(3n+3) 2) Find the volume of a cube, if the side is: a. 3a

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Question 1061897: 1) What is the monomial if a cube of a monomial is:
a. (1/8)a^(27)
b. -(27/64)a^(9)b^(6)
c. −0.001a^(3n+3)
2) Find the volume of a cube, if the side is:
a. 3a
b.5a^2
c. (1/5)b^3
3) Write the expression as a cube of a monomial.
a. 64x^9 in this form, (?)^3 find the ?
b. .001y^12 in this form, (?)^3 find the ?
c. –0.008b^6 in this form, (?)^3 find the ?
d. -(8/27)a^15 in this form, (?)^3 find the ?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
1) What is the monomial if a cube of a monomial is:
a. (1/8)a^(27)
Ans: (1/2)a^3
-----------------------
b. -(27/64)a^(9)b^(6)
Ans: -(3/4)^3b^2
-----------------------
c. −0.001a^(3n+3)
Ans: -0.1a(n+1)
---------------------------
2) Find the volume of a cube, if the side is:
a. 3a
Ans: V = 27a^3
--------------------------
b.5a^2
Ans: V = 125a^6
--------------------------
c. (1/5)b^3
Ans: (1/125)b^9
-------------------------------------------------
3) Write the expression as a cube of a monomial.
a. 64x^9 in this form, (?)^3 find the ?
Ans: ? = 4x^3
-----------------
b. .001y^12 in this form, (?)^3 find the ?
Ans: ? = 0.1y^4
-------------------
c. –0.008b^6 in this form, (?)^3 find the ?
Ans:: ? = -0.002b^2
-----------------------------
d. -(8/27)a^15 in this form, (?)^3 find the ?
Ans:: ? = -(2/3)a^5
------------------
Cheers,
Stan H.
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