Express the area of each figure as a monomial.

How would I solve
7x^4
if the formula is
s^2

Steps on how you got the answer are appreciated, it'll help me on my test. Thanks.

Question

Express the area of each figure as a monomial.

How would I solve
7x^4
if the formula is
s^2

Steps on how you got the answer are appreciated, it'll help me on my test. Thanks.

myininaya · Answer

are you saying we have a square and each side has length 7x^4?

myininaya · Answer

if so
then you do
$$(7x^4)^2=7^2x^{4 \cdot 2}$$

myininaya · Answer

$$=49x^8$$

anonymous · Answer

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anonymous · Answer

not sure if the fact that it's a circle and not a square would affect the outcome of the answer..

anonymous · Answer

What do you mean by "each figure"? the circle?

anonymous · Answer

Yes.

anonymous · Answer

So, you want the area of the circle in terms of x?

anonymous · Answer

Honestly, I have no idea what this question is asking me to do.. 
It just tells me to express the area of the figure as a monomial.

myininaya · Answer

but the figure they give you is a circle right?

myininaya · Answer

$$A=\pi r^2=\pi (7x^4)^2$$

myininaya · Answer

area of a circle is pi times radius squared

myininaya · Answer

the radius in the circle you drew above is 7x^4

myininaya · Answer

so i replaced r with 7x^4

anonymous · Answer

you beat me to it myin

myininaya · Answer

$$A=\pi(7^2 \cdot x^{4 \cdot 2})$$
:)

myininaya · Answer

$$A=49x^8 \pi$$

myininaya · Answer

since 7^2=49 and x^(4 times 2)=x^8

anonymous · Answer

Thank you :)