Exponent Properties Variables

Benjamin, Noah, and Kai are having a friendly competition to solve a math problem. They are trying to figure out the result of (2m⁴)(5m²). Can you help them out?

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Ethan, Jackson, and Ava are playing a game of 'Power Cubes'. Ethan picked the number -2 and cubed it, (-2)^3. What result did Ethan get?

• -8

• -6

• 6

• 8

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

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

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

(34x⁵y⁶z^-7)⁰

• 34x⁵y⁶ / z⁷

• 34x⁵y⁶ / x^-7

• 0

• 1

When you divide variables what do you do with the exponents?

• add them

• subtract them

• multiply them

• divide them

When a power is raised to a power what do you do with the exponents?

• add them

• subtract them

• multiply them

• divide them

Anything raised to the zero power is equal to?

• 0

• 1

• -1

• none of the above