Learn to evaluate an expression with a negative rational power in denominator

The video tutorial explains how to evaluate expressions with rational exponents, focusing on converting negative exponents to positive ones. It demonstrates the process using the example of 81 raised to the 3/4 power, showing how to simplify the expression by rewriting 81 as a power of 3. The tutorial concludes with the final evaluation of the expression, resulting in 27.

What is the rule for converting a negative exponent to a positive one?

• Take the reciprocal of the base and change the sign of the exponent

• Add the exponent to the base

• Divide the base by the exponent

• Multiply the base by the exponent

How can 81 be expressed as a power of 9?

• 9 to the power of 3

• 9 to the power of 2

• 9 to the power of 4

• 9 to the power of 1

What is the simplified form of 9 raised to the 3/2 power?

• 27

• 18

• 9

• 81

How can 81 be rewritten to simplify the expression with a 3/4 exponent?

• As 3 to the 5th power

• As 3 to the 2nd power

• As 3 to the 4th power

• As 3 to the 3rd power

What is the final result when 81 is simplified using the 3/4 exponent rule?

• 9

• 3

• 27

• 81