Power & Product Rule

Multiple Choice

Simplify (wx⁴z²)⁵

• wx²⁰z¹⁰

• w⁵x²⁰z¹⁰

• w⁶x⁹z⁷

• wx⁹z⁷

Multiple Choice

Simplify (-2m)⁴

• 16m⁴

• -8m⁴

• 16m⁵

• -8m⁵

Multiple Choice

Simplify (-2r³p²m)³

• -8r⁹p⁶m³

• -8r⁹p⁶m

• -6r⁶p⁵m⁴

• -6r⁹p⁶m³

Multiple Choice

Simplify (wm⁵)³

• w³m¹⁵

• wm¹⁵

• w⁴m⁸

• w³m⁸

Multiple Choice

Simplify (x⁵)⁶

• x³⁰

• x¹¹

• x

• 6x¹¹

Multiple Choice

Simplify (-x²y⁴)²

• x⁴y⁸

• -x⁴y⁶

• -2x⁴y⁸

• -2x⁴y⁶

Multiple Choice

Simplify (4xy⁴)³

• 64x³y¹²

• 64xy¹²

• 12x³y¹²

• 7x⁴y⁷

• 16x⁴y⁷

Multiple Choice

(3y⁴)²

• 9y⁸
• 9y⁶
• 6y⁸
• 6y⁶

Multiple Choice

According to exponent rules, when we simplify (x²)⁵ we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Simplify the expression.

Is this a power rule or product rule?

Are you multiplying or adding the exponents?
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

Multiple Choice

Rewrite the expression as a power.

Is this a power rule or product rule?

Are you multiplying or adding the exponents?
 (2⁴)(2⁵)

• 2²⁰
• 4⁹
• 4²⁰
• 2⁹

Multiple Choice

Simplify the expression.

Is this a power rule or product rule?

Are you multiplying or adding the exponents?

(2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

Simplify the expression.

Is this a power rule or product rule?

Are you multiplying or adding the exponents?

$$\left(4xy^3\right)^3$$  

• $$x^3y^9$$  

• $$64x^3y^9$$  

• $$12x^4y^6$$  

• $$64x^4y^6$$  

Multiple Choice

$$\left(3n^4\right)^3$$  

• $$9n^{12}$$  

• $$9n^7$$  

• $$27n^7$$  

• $$27n^{12}$$  

Multiple Choice

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

Multiple Choice

Simplify. $$\left(m^3\right)^5$$  

• $$m^8$$  

• $$m^{15}$$  

• $$8m$$  

• $$15m$$  

Multiple Choice

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Multiple Choice

Which shows the Power Rule used correctly?  $$\left(ab\right)^5$$  

• $$ab^5$$  

• $$a^5b^5$$  

• $$a^5b$$  

• $$a^6b^6$$  

Multiple Choice

Simplify. $$\left(m^3\right)^5$$  

• $$m^8$$  

• $$m^{15}$$  

• $$8m$$  

• $$15m$$  

Multiple Choice

Simplify the expression.

Is this a power rule or product rule?

Are you multiplying or adding the exponents?

m⁵⋅m²

• m⁷

• m³

• m¹⁰

• m²