Exponent Properties Variables

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Liam, Abigail, and Olivia are playing a game of 'Math Wizards'. Liam casts a spell that simplifies m¹²/ m³. What is the result of Liam's spell?

• m^12-3  = m⁹

• m^12/3  = m⁴

• m^-9

• -m⁹

• A
• B
• C
• D

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
• B
• C
• D

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

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When you multiply common variables, you need to _______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Arjun, Anika, and Isla are playing a game of Exponent Battles. When Arjun raises a power to a power, he should ________________ the exponents. What should he do?

• Add them

• Subtract them

• Multiply them

• Divide them

Imagine Daniel and Michael are playing a game of power stones. Each stone represents a power with the same base. When they decide to divide their power stones, they need to _______________ the exponents. What should they do?

• Add

• Subtract

• Multiply

• Divide