Simplifying a rational expression

The video tutorial explains how to simplify a complex algebraic expression by breaking it down into smaller parts. It covers reducing fractions, dividing exponents by subtracting powers, and handling negative exponents by moving them between the numerator and denominator. The final simplified expression is presented as the solution.

What is the first step in simplifying an expression with exponents and fractions?

• Multiply all exponents together

• Break the expression into smaller parts

• Combine all terms into a single fraction

• Add all coefficients

How can you simplify the fraction 9/27?

• Multiply by 3

• Add 18 to the numerator

• Subtract 9 from the denominator

• Divide both by 9

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

• Add the powers

• Multiply the powers

• Subtract the powers

• Divide the powers

What should you do with a negative exponent in the numerator?

• Leave it as is

• Move it to the denominator

• Add it to the denominator

• Multiply it by -1

What is the final simplified form of the expression discussed in the video?

• 1/3a^2b^2c

• 3a^2b^2c

• 1/3a^2

• 3/a^2b^2c