Properties of Exponents Practice

Properties of Exponents Practice

Algebra II

Multiple Choice

What is the exponent for the x variable after you simplify this expression?

• 5

• 4

• 3

• 2

What property did you just use?

• Quotient of Powers

• When you divide with the same base, subtract the exponent in the numerator by the one in the denominator.

Multiple Choice

What do you do first with this expression to simplify it?

• Distribute the exponent.

• Simplify what's inside of the parentheses.

Multiple Select

Which of these are equal to the expression shown? 

(Select all answers that apply)

•  $\frac{x^{12}}{64y^9}$  

•  $\left(\frac{x^4}{4y^3}\right)^3$  

•  $\frac{x^7}{12y^7}$  

•  $\frac{x^{12}}{4^3y^9}$  

Which properties did you have to use on the last problem?

• First, simplify the fraction on the inside by reducing 4/16 and then subtract exponents for the common bases.

• Then, raise each base to the 3rd power, multiply exponents.

• Remember, PEMDAS should always apply when you are simplifying expressions.

Multiple Choice

Simplify. Your answers should contain only positive exponents.

• $\frac{u^6}{v}$

• $u^4v^4$

• $-\frac{1}{v^5u}$

• $v^5$

Multiple Select

What properties did that problem require you to use?

Select all that applied

• Product of Powers

• Quotient of Powers

• Negative Exponent

• Power of a Power

• Zero Exponent

Multiple Choice

What is the first step to simplify this expression according to PEMDAS?

• Simplify what's inside of the parentheses.

• Subtract the exponents.

• Distribute the exponent to the product.

• Multiply the bases in the denominator.

Multiple Choice

Simplify. Your answer should contain only positive exponents.

• $\frac{b^{12}}{a^{36}}$

• $\frac{1}{a^{29}b^{16}}$

• $1$

• $a^3b^8$

Here were the properties & steps needed to simplify that last problem:

Hope that helps you understand the problem better!

Multiple Choice

Click on the picture to make it larger.

• $\frac{2ab^2c^2}{3}$

• $\frac{2a}{3b^2c^2}$

• $\frac{2a}{3b^2}$

• $\frac{2a}{3bc}$

Open Ended

What problems did you struggle the most? Which ones do you need me to go over in more detail?