Simplifying Exponents and Rational Expressions

The video tutorial explains how to simplify expressions with rational exponents by applying basic exponent rules. It covers three examples: multiplying exponents by adding them, dividing exponents by subtracting them, and raising powers to powers by multiplying exponents. The tutorial also addresses finding common denominators for fractions and handling negative exponents by moving them to the denominator.

What is the first step in simplifying expressions with rational exponents?

• Ignore the exponents

• Multiply all exponents by 2

• Convert all exponents to decimals

• Apply the basic rules for exponents

When multiplying expressions with the same base, what should you do with the exponents?

• Multiply them

• Subtract them

• Add them

• Divide them

What is the least common denominator of 1/3 and 1/4?

• 9

• 6

• 15

• 12

In the expression X^(1/3) * X^(1/4), what is the simplified exponent of X?

• 7/12

• 1/12

• 1/7

• 5/12

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

• Subtract them

• Add them

• Multiply them

• Divide them

What is the least common denominator of 5/6 and 2/5?

• 30

• 20

• 25

• 15

In the expression M^(5/6) / M^(2/5), what is the simplified exponent of M?

• 13/30

• 7/30

• 1/6

• 3/10

When raising a power to another power, what should you do with the exponents?

• Divide them

• Add them

• Subtract them

• Multiply them

How do you handle negative exponents in an expression?

• Ignore them

• Convert them to positive by moving to the denominator

• Multiply them by -1

• Add 1 to them

In the expression A^(6 * -1/3), what is the simplified form of A?

• A^2

• 1/A^2

• A^-2

• A^3