5.1-5.2 Properties of Exponents and Radicals

Find the indicated real n^th root(s) of a.

n = 6, a = −729

• 3

• -3

• ±3

• no real roots

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.B.3

Find the indicated real n^th root(s) of a.

n = 5 , a = -243

• 3

• -3

• ±3

• no real roots

Tags

CCSS.HSN.CN.A.1

Find the indicated real n^th root(s) of a.

n = 4, a = 256

• -4

• 4

• ±4

• no real roots

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

8^5/3

• 64

• 32

• 16

• 24

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify: 

• 1024
• 1 ⁄ 1024
• 32
• 1 / 32

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Evaluate

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Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve for x,   $x^3=125$  

• x = ±5

• x = -5

• x = 5

• x = ±3

Solve for x, (x − 5)⁴ = 256

• x = 9

• x = 1

• x = 1 and x = 9

• x = -1 and x = -9

Tags

CCSS.HSA.REI.A.2

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Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3