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 simplify an expression where a negative exponent only applies to the base x?

• Move the entire fraction to the numerator

• Add the exponent to the denominator

• Move the power of x to the numerator

• Write the reciprocal of the entire fraction

When simplifying 3x squared y to the power of negative 4 to the power of 3, what property should be applied first?

• Power of a quotient

• Power of a sum

• Power of a product

• Power of a difference

How do you handle a negative exponent in the expression 3x squared y to the power of negative 4 to the power of 3?

• Move it to the denominator

• Move it to the numerator

• Leave it as is

• Add it to the base

What is the result of evaluating 3 cubed in the expression?

• 9

• 243

• 27

• 81

What is the final simplified form of the expression 3x squared y to the power of negative 4 to the power of 3?

• 9x to the power of 6 over y to the power of 12

• 27x to the power of 6 over y to the power of 4

• 27x to the power of 6 over y to the power of 12

• 81x to the power of 6 over y to the power of 12