Simplifying Nonperfect Roots

Which expression is equivalent to root 200?

10 root 2

What values of a and b make the equation true? root 648= root 2^a 3^b

a = 3, b = 4

What is the simplest form of 3 root 27a^3b^7?

a)3ab^2(3 root b)

Which expression is equivalent to root 2x^5/18? Assume x>0.

a)x^2 root x/3

Which expression is equivalent to 3 root 10x^5/54x^8? Assume x=0.

b)3 root 5/3x

Which expression is equivalent to 3 root 64a^6b^7c^9?

b)4a^2b^2c^3(3 root bc)

Which expression is equivalent to 3 root 256x^10y^7?

b)4x^3y^2(3 root 4xy)

What values of c and d make the equation true? 3 root 162x^cy^5=3x^2y(3 root 6y^d)

c = 6, d = 2

Which expression is equivalent to root 128x^8y^3z^9? Assume y>0 and z>0.

c)8x^4yz^4 root 2yz

Which expression is equivalent to root 55x^7y^6/11x^11y^8? Assume x > 0 and y 0.

c)root 5/x^2y