Simplifying Expressions with Properties of Exponents

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

• a^-3

• a³

• 3a

• 1/a^-3

• a⁸

• a¹⁵

• a³⁵

• a^-2

• a⁶b⁴

• a⁸b

• a⁸b⁴

• a²b⁴

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• a⁶

• a^-60

• a⁴

• a^-7

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