Laws of Exponents, Expressions and Factoring

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Tags

CCSS.8.EE.A.1

Simplify the following expression: 
xy^-7

• xy⁷
• x/y⁷
• x⁷/y
• x⁷y

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Tags

CCSS.HSA.APR.A.1

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Tags

CCSS.HSA.APR.A.1

6x⁵y² / 2x⁴y²

• 3xy
• 4x
• 3x
• 4xy

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Find the difference.

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Tags

CCSS.HSA.APR.A.1

Find the sum. 
(3 - 2x + 2x²) + (4x - 5 + 3x²)

• 7x - 7x + 5x²
• 5x² + 2x - 2
• 5x²
• 5x² + 6x + 8

Tags

CCSS.HSA.APR.A.1

Simplify:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Tags

CCSS.7.EE.A.1

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

Tags

CCSS.HSA.APR.A.1

Multiply
(x²-2x+1)(x+1)

• x³-x²-x+1
• x³-2x+2
• x³+x²+x+1
• x³-3x²-3x+1

Tags

CCSS.HSA.APR.A.1