Final Exam Algebra

Simplify the expression (k^{4})^{5}.

• a) k^{9}

• b) k^{20}

• c) k^{1}

• d) k^{10}

Simplify the expression ((p^{4}q^{2})(p^{7}q^{5}).

• a) p^{11}q^{7}

• b) p^{8}q^{10}

• c) p^{11}q^{10}

• d) p^{8}q^{7}

Simplify the expression (45y^{2}z^{10})/(5y^{2}z).

• a) 9z^{9}

• b) 9z^{10}

• c) 9z^{11}

• d) 9z^{8}

Simplify the expression ((12a^{4}b^{6})/(36ab^{2}c)).

Evaluate responses using AI:

OFF

Simplify the expression ((3m^{2}n)^{4}).

• a) 3m^{8}n^{4}

• b) 81m^{8}n^{4}

• c) 81m^{2}n^{4}

• d) 3m^{8}n

Simplify the expression (12x^{2}y)^{0}.

• a) 0

• b) 1

• c) 12x^{2}y

• d) Undefined

Simplify the expression (4x(2x^{2}y)^{0}).

• a) 4x

• b) 8x

• c) 4x^{2}

• d) 8x^{2}

Simplify the expression ((3x^{4}y)(2y^{2})^{3}).

• a) 6x^{4}y^{7}

• b) 6x^{4}y^{6}

• c) 6x^{4}y^{8}

• d) 6x^{4}y^{5}

What is the distributive property used for?

• To add two numbers

• To multiply a single term by an expression

• To divide two numbers

• To subtract two numbers

Using the distributive property, what is the result of 8(5x^2 - 9x)?

• 40x^2 + 72x

• 40x^2 - 72x

• 40x^2 - 9x

• 5x^2 - 72x