Simplifying a rational exponent with a rational base, (4/3)^(-1/2)

The video tutorial explains the rules and properties of exponents, focusing on negative exponents and their simplification. It covers the reciprocal of fractions with negative exponents and the power of quotient property. The tutorial also demonstrates how to simplify expressions with rational exponents, providing a step-by-step approach to rewriting and simplifying mathematical expressions.

What happens when a base is raised to a negative exponent?

• It becomes a negative number.

• It remains unchanged.

• It becomes a reciprocal with a positive exponent.

• It becomes zero.

How do you simplify a fraction raised to a negative exponent?

• Multiply the fraction by itself.

• Add the exponents.

• Take the reciprocal and use a positive exponent.

• Subtract the exponents.

What is the power of quotient property used for?

• To apply exponents to both the numerator and denominator.

• To multiply exponents of the same base.

• To divide exponents of different bases.

• To add exponents of the same base.

How can you express a rational exponent as a radical?

• By multiplying the base by the exponent.

• By subtracting the exponent from the base.

• By taking the root indicated by the denominator of the exponent.

• By adding the exponent to the base.

What is the simplified form of 4 to the one-half power?

• 2

• 1

• 4

• 8