Power Rules of Exponents

Simplify:  x¹⁰⋅x⁴

• x⁴⁰

• x¹⁴

• x⁶

• 2x¹⁴

Simplify:  (5p⁹q³)(2pq⁷)

• 7p¹⁰q¹⁰

• 10p⁹q²¹

• 10p¹⁰q¹⁰

• 10p⁸q^-4

Simplify: 7p⁰

• 7

• 1

• simplified

• 7p

Simplify   (2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

X² ⋅ X³ ⋅ X⁴ ⋅ X

• x⁹

• x²⁴

• x¹⁰

• x²⁵

(5x²y²)³

• 125x⁶y⁶

• 15x⁶y⁶

• 8x⁵y⁵

• 15x⁵y⁵

Simplify:  3x³ ⋅ 3x

• 3²x⁴

• 3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x 

• 9x⁴

• 3x⁴

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide