Quotient of Powers Negative Exponent

Simplify
x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

Simplify.

• y¹⁵

• y⁵

• y²

• 2y⁵

x^-3

• 1/x³

• 1/x^-3

• 3x

• 1/3x

It is not proper to write answers with negative exponents. How do we "take care of" negative exponents?

• Write no solution if there is a negative exponent

• Just leave the negative exponent. It is mathematically okay.

When you see a negative exponent... (check ALL that apply)

• ... if it is in the numerator, flip it to the denominator and make the exponent positive

• ... if it is in the numerator, keep it there and make the exponent positive

• ... if it is in the denominator, keep it there and make the exponent positive

• ... if it is in the denominator, flip it to the numerator and make the exponent positive

Type your final answer in the fraction form. No equal sign please.

Mathematical Equivalence

ON

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

Rewrite using a positive exponent.
w^-13

• -w¹³

• ¹/_w¹³

• ¹/_w^-13

• w¹³

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴