Properties of Exponents

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

Use the properties of exponents to simplify each expression. Then, drag the expression to the correct column.

Groups:

(a) a^4

,

(b) a^16

,

(c) a^20

,

(d) a^8

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• 
• 
• 
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• 
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Simplify.  Your answer should contain only positive exponents.

(8⁵)³

Simplify. Your answer should contain only positive exponents.

2x⁰y³

• 2y²

• 2xy

• 2y³

• 1

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add

• subtract

• multiply

• divide

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

• Add

• Subtract

• Multiply

• Divide

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

How do you write 2 x 2 x 2 x 2 with an exponent?

• 4²

• 2⁴

• 2²

7⁰

• 7¹

• 0¹

• 1

• 7