5.1 Laws of Exponents

5.1 Laws of Exponents

Multiple Choice

What is the base?

• 3

• 2

• 6

• 9

Multiple Choice

What is the exponent?

• 3

• 2

• 6

• 9

Multiple Choice

What is the expanded form?

• 3x3

• 2x2x2

• 6

• 9

Multiple Choice

What is the standard form?

• 3x3

• 2x2x2

• 6

• 9

Product Rule

Multiple Choice

n²⋅n⁴⋅n⁵

• n¹¹

• n⁴⁰

• n¹³

• n²²

Multiple Choice

Simplify:

(b²)(b⁴ )

• b⁸

• b⁶

• b²

• 2b⁶

Multiple Choice

Simplify:

(x³)(x²)

• x⁵

• x⁶

• x

• x^1.5

Multiple Choice

(4² )( 4²)

• 16⁴

• 4²

• 4⁴

• 8²

Multiple Choice

Simplify

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

Multiple Choice

• x⁴
• x⁸
• x¹²
• x²⁰

Multiple Choice

Simplify

• 2x⁶

• 2x

• 2x⁵

• 2x⁸

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

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply
• Add
• Divide
• Subtract

Multiple Choice

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

Multiple Choice

 $\left(x^5\right)^4$  

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