Laws of Exponent Simplifications

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Rewrite each expression with a negative exponent.
¹/_12⁴

• ¹/_12^-4

• 12⁴

• ¹/_20,736

• 12^-4

• 4⁹
• 4⁴⁴
• 4²¹
• 4¹⁵

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸

• 16⁸

• 4¹⁵

• 16¹⁵

• ¹²
• 36
• 1/36
• 1/12

• 8
• 1/8
• 8⁷
• all of the above

15⁹÷15^{3 =}

• 15⁶

• 15¹²

• 1⁶

• 1¹²

Using the rules of exponents, simplify the following expression. Your answer should be in exponential form.

• 7³ x 5²

• 7⁴ x 58

• 7³ x 5⁴

• 7² x 5⁴

Evaluate this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Division Law states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide