Negative Exponents (Example)

The video tutorial explains how to simplify expressions with negative exponents. It begins by demonstrating that a negative exponent only affects its base, not the entire fraction. The expression is rewritten by moving the power to the numerator. In a second example, the power of a product property is applied before addressing the negative exponent. The process involves multiplying the power outside the parentheses with each power inside, then simplifying by moving negative exponents to the denominator. The final expression is evaluated to provide the answer.

What is the correct way to handle the negative exponent in the expression 3x squared y to the power of negative 4?

Explain how to apply the power of a product property when simplifying expressions.

What steps are involved in simplifying the expression 3 cubed times x to the power of 6 times y to the power of negative 12?

How do you convert a negative exponent to a positive exponent in a fraction?

What is the final simplified form of the expression after evaluating 3 to the power of 3?