Simplifying Rational Expressions Assignment

Simplify each expression. (a^2b^-3/a^-2b^2) a =/= 0 b =/= 0

1. C, 2. D

Examine Tamika's work below. What is Tamika's error? 18a^-5 b^-6 / 30a^3b^-5 = 3a^2b^11/5 = 3/5a^2b^11

She added the exponents

Describe how you would simplify the given expression. (20x^5y^2 / 5x^-3y^7) ^-3 , x=/= 0, y =/= 0

Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the -3 power. Then, write bases with positive exponents. Raise the numerator and denominator to the -3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.

Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2 , x ≠ 0, y ≠ 0, z ≠ 0.

x = 4 y = 14 z = 4 x^4 = numerator y^14 = denominator z^4 = denominator

Simplify each expression. 3a^2b^-4/12a^-2b^-2 , a =/= 0 , b =/= 0

1. A, 2. B

Simplify. Express the answers using positive exponents. -2ab^2b^4/4ab^-8 , a=/= 0 b =/= 0

1. A, 2. C