Exponent Rules with Negative Exponents

Simplify using your exponent rule(s) x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

• (-2)⁹

• (-2)¹⁸

• (-2)⁻³

• (-2)

Can you leave a negative exponent in your answer?

• YES

• NO

Rewrite using positive exponents

• 2⁴

• 1/2⁴

• 4²

• 1/4²

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

x^-3

• 1/x³

• 1/x^-3

• 3x

• 1/3x

The rule for negative exponents (the apartment rule) says that if an exponent is negative (unhappy) move it to the other floor (downstairs denominator or upstairs numerator) and make the exponent ________________.

• Positive

• Negative

• Zero

• Reciprocal

• Irrational

Answer explanation

Which exponent rule is shown here? 
y^-19 = 1/y¹⁹

• Product of Powers Rule

• Power to power Rule

• Quotient Rule

• Negative Exponent Rule