Answer:
C 9 *x^2 y^ 4 y^ 1/2
Step-by-step explanation:
(81x^4y^9)^1/2
We know that (ab)^1/2 = a^1/2 *b^1/2
(81) ^1/2 * (x^4) ^1/2 * (y^9)^1/2
We know that a^b^c = a^ (b*c)
(81) ^1/2 * (x^(4*1/2) * (y^(9*1/2)
9 *x^2 y^ 9/2
We know that y^9/2 = y^4 y^1/2
9 *x^2 y^ 4 y^ 1/2
Adding all of the together would be 471... but I need clarification on the problem
Area of a cirlce=πr²
we have two radius:2r and r
area of the cirlce₁ + area of the circle₂=80 m²
area of the circle₁=π(2r)²
area of the circle₂=πr²
Then, we can suggest this quation:
π(2r)²+πr²=80
4πr²+πr²=80
π(4r²+r²)=80
π(5r²)=80
5πr²=80
r²=80/5π
r=√(80/5π)≈2.26
radius of the largest cirlce=2r=2(2.26)=4.51
Answer: the radius of the largest circle is 4.51 m
The answer would be answer choice d. The above answer