Understanding and applying the laws of exponents to numerical expressions (rational exponents)

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

Simplify

• 3 x² y² z √3yz

• 3 x y z √xy²

• 3xyz

• Can't Simplify

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

√28m⁴n³

• m²n√7n
• 7m²n√n
• 2m²n√7n
• 7m²n²√n

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CCSS.HSN.RN.A.2

What is the index?

• 4

• 32

• 2

• 3

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

 $\frac{\left(x^{\frac{1}{2}}\cdot x^{\frac{5}{12}}\right)^{\frac{1}{3}}}{x^{\frac{2}{3}}}$  Simplify the expression. Assume that all variables are positive.

•  $\frac{1}{x^{\frac{7}{12}}}$  

•  $x^{\frac{12}{36}}$  

•  $\frac{1}{x^{\frac{13}{36}}}$  

•  $x^{\frac{7}{12}}$  

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2