Simplifying Exponent Properties

Avery, Priya, and James are on a treasure hunt. They found a magical stone with an inscription on it: (2a²b⁴z)(6a³b²z⁵). They believe simplifying this will lead them to the next clue. Can you help them?

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Zoe, Noah, and Mason are on a treasure hunt. They found a cryptic note with an expression that needs to be evaluated using the Same Base, Division rule. Can you help them solve it?

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Mason, Abigail, and Sophia are having a friendly debate. They are trying to figure out which of the expressions are equivalent to x⁶. Can you help them settle this debate?

• Mason and Abigail think only A and B are equivalent

• Mason thinks only A and C are equivalent

• Sophia believes only A, C and D are equivalent

• All of them think all of the expressions are equivalent

Samuel, Noah, and David are having a friendly competition to see who can simplify the following expression the fastest:
(5ab²)². Can you beat them to it?

• 25a²b⁴

• 10a²b⁴

• 10ab⁴

• 25ab⁴

Daniel, Luna, and Ethan are playing a game where they need to simplify expressions. Help them solve this: 4^-2= 

• 1/16

• -16

• 1/4

• -42

• A
• B
• C
• D

Simplify using exponent properties

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Re-write in fractional exponent form

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Which property would I use for the following?

• Power of Products

• Product of Powers

• Quotient of Powers

• Power of Powers

What is my FIRST step when simplifying a negative exponent?

• Make the exponent positive.

• Rewrite the power as a positive.

• Plug the exponent into your calculator.

• Rewrite the power as a fraction.