Solving Equations with Radicals & Rational Exponents

How do you isolate a variable raised to the (2/3) power?

• cube it
• square it
• raise both sides to the (3/2) power
• raise both sides to the (2/3) power

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Rewrite the expression without using a radical:

• (2x+1)^3/4
• (2x+1)^4/3
• 4(2x+1)³
• 3(2x+1)⁴

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Rewrite the expression without using a radical:

• (x - 1)^3/4
• (x - 1)^4/3
• 3(x - 1)⁴
• 4(x - 1)³

Solve for x:

• 3
• 2
• 1
• 0

Tags

CCSS.HSA.REI.A.2

Solve for x:

• 6
• 7
• 8
• 9

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve for x:

• 2
• 63
• 65
• no solution

Tags

CCSS.HSA.REI.A.2

Solve for x:
(x + 2)^1/2 - 5 = -2

• 1
• 5
• 7
• 9

Tags

CCSS.HSA.REI.A.2

Solve for x:
(2x - 1)^3/4 + 9 = 36

• 27
• 13
• 41
• 82

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Solve for x:
7 + x^3/2 = 71

• 2
• 4
• 16
• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

• y = √(x) + 2
• y = √(x) - 2
• y = √(x + 2)
• y = √(x - 2)

Tags

CCSS.HSF-IF.C.7B