Simplifying Expressions with the Power Rule

What does the Power Rule state?

• Add the exponents when raising a power to another power.

• Subtract the exponents when raising a power to another power.

• Divide the exponents when raising a power to another power.

• Multiply the exponents when raising a power to another power.

What is the result of (2^3)^2?

• 2^5

• 2^12

• 2^9

• 2^6

How do you simplify x^2 raised to the power of 4?

• x^6

• x^8

• x^10

• x^12

What is the simplified form of y^2 raised to the power of 10?

• y^15

• y^25

• y^12

• y^20

What is the result of (5x^3)^2?

• 10x^5

• 10x^6

• 25x^6

• 25x^5

How do you simplify (-3x)^2?

• 6x^2

• -9x^2

• -6x^2

• 9x^2

What is the simplified form of (4x^2y^5)^3?

• 12x^6y^15

• 12x^5y^15

• 64x^5y^15

• 64x^6y^15

What is the result of (0.5m^4n^2)^2?

• 0.5m^8n^4

• 0.5m^6n^4

• 0.25m^6n^4

• 0.25m^8n^4

How do you combine like terms in the expression 2mn^3 + 64n^3?

• 2mn^6

• 66mn^3

• 66n^3

• 64mn^3

What is the simplified form of (2x^2y)^2 + (4x^3y^2)^2?

• 4x^4y^4 + 16x^6y^4

• 4x^4y^4 + 16x^6y^2

• 4x^4y^2 + 16x^6y^4

• 4x^4y^2 + 16x^6y^2