Learn how to simplify an expression with rational exponents using power to quotient rule

The video tutorial explains how to handle rational exponents by treating them like regular exponents. It covers converting rational exponents to radical expressions and vice versa. The power to quotient rule is discussed, which involves applying a power to both the numerator and denominator of a division problem. The tutorial demonstrates multiplying exponents, including fractions, and simplifying them. It concludes with converting negative exponents to positive by using reciprocals, resulting in the final answer.

What is the power to quotient rule in exponents?

• It states that you add the exponents when multiplying like bases.

• It states that you subtract the exponents when dividing like bases.

• It states that a power is distributed to both the numerator and denominator in a division problem.

• It states that you multiply the exponents when raising a power to another power.

How do you multiply a fraction by a whole number?

• Subtract the whole number from the fraction.

• Convert the whole number to a fraction and multiply numerators and denominators.

• Add the whole number to the fraction.

• Divide the fraction by the whole number.

What is the result of multiplying 1/3 by 9?

• 1/3

• 9

• 27

• 3

How do you convert a negative exponent into a positive one?

• Subtract 1 from the exponent.

• Use the reciprocal of the base with a positive exponent.

• Multiply the exponent by -1.

• Add 1 to the exponent.

What is the simplified form of X^9/3 over Y^-18/3?

• X^-3 Y^6

• X^3 Y^6

• X^3 Y^-6

• X^6 Y^3