Multiplication Rule/ Power to a Power

PRODUCT RULE!

• Keep the base and add the exponents.

Multiple Choice

Simplify:
b² ⋅ b⁴

• b⁸
• b⁶
• b²
• 2b⁶

PRODUCT RULE with Coefficients

• Multiply the coefficients

• Add the exponents

Multiple Choice

Simplify: $$\left(7a^4b^5\right)\left(2a^2b\right)=$$  

• $$14a^6b^6$$  

• $$14a^6b^5$$  

• $$49a^8b^5$$  

• $$9a^4b^5$$  

POWER TO A POWER RULE!

• Keep the base and multiply the exponents!

Multiple Choice

Simplify the following:
(x²)⁵

• x⁷

• x²

• x¹⁰

• x⁵

POWER OF A PRODUCT RULE!

• Raise each factor to the exponent

Multiple Choice

(2ab)³

• 8a³b³

• 2ab³
• 6a³b³
• 6ab

Multiple Choice

Which rule do you use to simplify
(-7y²)(5y⁴)

• product(multiplication) Rule

• Power to a power

Multiple Choice

Simplify
(-7y²)(5y⁴)

• -35y⁶
• -2y⁶
• -35y⁸
• -2y⁸

Multiple Choice

Which rule do you use to simplify: $$4x^5\cdot6x^{10}$$  

• Product(Multiplication) Rule

• Power to a power

Multiple Choice

Simplify: $$4x^5\cdot6x^{10}$$  

• $$24x^{15}$$  

• $$10x^{15}$$  

• $$\sqrt{24x^{15}}$$  

• $$\sqrt{10x^{15}}$$  

Multiple Choice

Which rule do you use to simplify: n²⋅n⁴⋅n⁵

• Power to a power

• Product(Multiplication) Rule

Multiple Choice

n²⋅n⁴⋅n⁵

• n¹¹

• n⁴⁰

• n¹³

• n²²

Multiple Choice

Which rule would you use to simplify: $$\left(4x^3y^4\right)^2$$  

• Power to a Power

• Product(Multiplication) Rule

Multiple Choice

Tell whether the following question is TRUE or FALSE. $$\left(4x^3y^4\right)^2=16x^6y^8$$  

• TRUE

• FALSE

Poll

Rate your understanding

• I understand it well

• I kind of understand, but need more practice.

• I still don't understand