Exponent Rules

Exponent Rules

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Multiple Choice

In order to multiply powers with the same base, we add their exponents.

• True

• False

Multiple Choice

Simplify the expression: 
c⁴⋅c³=

• ^c12
• c⁴⁺³
• c⁷

Multiple Choice

(x²)⁶

• x¹²

• x⁸

• x²⁶

• x⁴

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

Simplify: $$\frac{k^3}{5k}$$  

• $$5k^2$$  

• $$\frac{5}{k^2}$$  

• $$\frac{k^2}{5}$$  

• $$\frac{k^4}{5}$$  

Multiple Choice

Simplify: $$\left(-x^3\right)\left(-5x\right)$$  

• $$5x^4$$  

• $$-5x^4$$  

• $$5x^3$$  

• $$-5x^3$$  

Multiple Choice

Simplify: $$\left(2m\right)^5$$  

• $$10m^5$$  

• $$32m^5$$  

• $$25m^5$$  

• $$\frac{1}{2m^5}$$  

Multiple Choice

Simplify: $$\frac{2^9}{2^6}$$  

• $$1^3$$  

• $$0^3$$  

• $$2^3$$  

• $$2^{15}$$  

Multiple Choice

Simplify:  $$6^5\cdot6^2$$  

• $$6^7$$  

• $$6^3$$  

• $$36^7$$  

• $$6^{10}$$  

Multiple Choice

2⁵ is the same as 2 x 5.

• True
• False

Multiple Choice

Which is equivalent to 2⁴

• 8
• 20
• 16
• 12

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³
• 5⁴
• 4⁵
• 5⁵

Multiple Choice

7⁰

• 1
• 7
• 0
• -7

Multiple Choice

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

Multiple Choice

When dividing powers with the same base, you _______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Simplify 4^-2= 

• 1/16
• -16
• 1/4
• -42

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴