Calculate the area of a square that has a side that measures 7 x^3y^4 (hint: A=S^6 )?

Question

2. Calculate the volume of a cube that has a side that measures 3m^2n^7 (hint: V=S^3 )

2. If a rectangle has an area of 18 x^9y^2 and a width of 6 x^7y, what is the height? (hint: A=h x w )

Thank you

Answer 1

1) The area of a square is actually A = s^2
So: (7x^3y^4)^2 = A
So raise everything within the parenthesis to the power of two, and you get:
A = 49x^6y^8

2) Raise everything to the third power:
V = (3m^2n^7)^3
V = 27m^6n^21

3) Divide 18x^9y^2 by 6x^7y
So you get: H = 3x^2y

Answer 2

Your first hint is incorrect.
A = 42x^6y^8

The others are just as straightforward. Practice.