Simplify a rational expression with two variables

The video tutorial reviews a previous lesson on dividing expressions with exponents. It breaks down the problem into three parts: simplifying the fraction 12/16, applying the rules of exponents to x and y terms, and combining the results. The teacher explains how to simplify fractions by finding common factors and demonstrates the subtraction of exponents when dividing terms with the same base. The final simplified expression is presented as 3x^4y/4.

What is the first step in solving the problem of dividing 12 over 16?

• Multiply both numbers by 2

• Find a common divisor

• Add the numbers together

• Subtract the smaller number from the larger one

Which fraction is equivalent to 3/9 when simplified?

• 1/2

• 3/4

• 2/3

• 1/3

What common number can be divided out of 12 over 16 to simplify it?

• 2

• 5

• 3

• 4

When dividing exponents with the same base, what operation is performed on the powers?

• Add the powers

• Divide the powers

• Subtract the powers

• Multiply the powers

What is the final simplified form of the expression 12/16 * x^8 / x^4 * y^5 / y^4?

• 3x^4y/4

• 3x^5y/4

• 3x^4y^2/4

• 3x^3y/4