Exponents, Radicals and Rationals

Simplify:  $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$  

•  $16a^8b^9c^9$  

•  $8a^8b^9c^9$  

•  $8a^6b^5c^6$  

•  $16a^5b^5c^6$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $\frac{12x^5y^4}{2x^9y}$  

•  $6x^{-4}y^3$  

•  $\frac{6y^3}{x^4}$  

•  $\frac{12y^3}{2x^4}$  

•  $\frac{6x^{-4}}{y^3}$  

Tags

CCSS.HSA.APR.A.1

What is [ (12x³y⁵z⁷)/ (144x^-4 y⁷z^-3)]⁰

• 12(x⁷z¹⁰)
• (x⁷z¹⁰)/12y²
• 1
• (x⁷y^-2z¹⁰)/12

Tags

CCSS.8.EE.A.1

Simplify the radical...
√20a²b⁴

• 2ab²√5
• 4ab²√5
• 5ab²√2
• 2a²b²√5

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

Simplify

√45n³

• 3n√5n
• 4n√8
• 4n√-8
• 10√n

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

Simplify

• 3x²y²z√3yz
• 3xyz√xy²
• 3xyz
• Can't Simplify

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Solve.   x² = √-40

• x = 4i√10
• x = ± 2√10
• x = ± 2i√10
• x = ± 10i√2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• 5x^5/4
• 5x^-5/4
• (5x)^-5/4
• (5x)^-4/5

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

• (6v)³
• 6v^3/2
• (6v)^3/2
• (6v)^2/3

Tags

CCSS.HSN.RN.A.2

Write the expression in radical form.
x^3/4

• ∜x³
• ∛x⁴
• x^.75
• √x²

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1