Exponential and Radical Expressions

What is the simplified form of 8a^2b^-3c^5 / 96a^3b^4c^-2?

• 12c^7 / ab^7

• c^7 / 12ab^7

• 12c^3 / ab^3

• 24c^3 / ab^3

What is the simplified form of (3p^4q^-4 / 24p^8q^-2)^-1?

• 8p^2q

• 8p^3q^2

• 8p^4q^2

• 8pq^4

What is the value of (x^-4 y z^-2) / (x^-3 y^2 z^-4) if x = 1/3, y = 1/5, and z = 2?

• 32

• 60

• 100

• 320

Simplify the expression: 12 / (sqrt(6) + sqrt(2))

• 4(sqrt(6) + sqrt(2))

• 4(sqrt(6) - sqrt(2))

• 3(sqrt(6) + sqrt(2))

• 3(sqrt(6) - sqrt(2))

• 2(sqrt(6) + sqrt(2))

If 9^x = 25, what is the value of 3^(x+2) + 9^x?

• 50

• 60

• 80

• 70