CCSS.Math.Content.HSN.RN.A.2

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

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CCSS.Math.Content.HSN.RN.A.2

√512a¹⁰

• 8a⁵√4
• 16a⁵√2
• 16a¹⁰√2
• 16a⁵√a

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CCSS.Math.Content.HSN.RN.A.2

Simplify the expression in exponential form:
(5⁴)^{3
Hint: Expand it out}

• 5¹
• 5⁷
• 5¹²

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CCSS.Math.Content.HSN.RN.A.2

The number under the radical sign or square root sign  is called the ______.

• radical sign
• radicand
• factor
• exponent

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CCSS.Math.Content.HSN.RN.A.2

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

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CCSS.Math.Content.HSN.RN.A.2

Simplify the following radical: √300

• 3√10
• 2√150
• 100√3
• 10√3

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CCSS.Math.Content.HSN.RN.A.2

(8⁵)³

• 8⁸
• 8¹⁵
• 8²
• 1/8²

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CCSS.Math.Content.HSN.RN.A.2

Simplify  5√6 ⋅ 6√18

• 6√3
• 66√3
• 2√6
• 180√3

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CCSS.Math.Content.HSN.RN.A.2

Reduce: √8

• 4
• 2
• 2√4
• 2√2

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CCSS.Math.Content.HSN.RN.A.2

Reduce: √200

• 10√2
• 2√10
• 100
• 20

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CCSS.Math.Content.HSN.RN.A.2