Question

PLEASE HELP

Which expression is equivalent to
A c = 1, d = 3
B c = 1, d = 32
C c = 2, d = 8
D c = 2, d = 32

Answer 1

`\bf \sqrt{\cfrac{50x^6y^3}{9x^8}}\implies \cfrac{√(50x^6y^3)}{√(9x^8)}\qquad \begin{cases} 50=2\cdot 5\cdot 5\\ \qquad 2\cdot 5^2\\ x^6=x^(3\cdot 2)\\ \qquad (x^3)^2\\ y^3=y^(2+1)\\ \qquad y^2\cdot y^1\\ 9=3^2\\ x^8=x^(4\cdot 2)\\ \qquad (x^4)^2 \end{cases} \\\\\\ \cfrac{√(2\cdot 5^2(x^3)^2y^2y)}{√(3^2(x^4)^2)}\implies \cfrac{5x^3y√(2y)}{3x^4}`

now, if it's asking "c is the exponent of 'y' outside the root"? well, the exponent of "y" is 1

if it's asking "d is the coefficient of 'x'"? well, the coefficient is 3

Answer 2

im going to go with A