Exponent Rules

Simplify:   x² ⋅ x⁵

• x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x 
• x⁷
• x¹⁰
• x ⋅ x

Tags

CCSS.HSA.APR.A.1

• a⁷
• a¹⁰
• a³
• a^-3

Tags

CCSS.8.EE.A.1

Simplify:   $\left(6x^{\frac{1}{2}}\right)\left(-3x^{\frac{2}{5}}\right)$  

•  $18x^{\frac{3}{7}}$  

•  $-18x^{\frac{9}{10}}$  

•  $-18x^{\frac{3}{7}}$  

•  $18x^{\frac{9}{10}}$  

According to exponent rules, when we raise a power to another power we _______ the exponents.

• add

• subtract

• multiply

• divide

Tags

CCSS.8.EE.A.1

Simplify $\left(4x^3y^2\right)^{\frac{1}{2}}$  

•  $4x^{\frac{3}{2}}y$  

•  $2x^{\frac{3}{2}}y$  

•  $4x^{\frac{7}{2}}y^{\frac{5}{2}}$  

•  $2x^{\frac{7}{2}}y^{\frac{5}{2}}$  

-3xy³ . (4xy)²

• -12x³y⁵
• -48x²y⁴
• -48x³y⁵
• -12x²y⁶

Tags

CCSS.HSA.APR.A.1

Rewrite each expression with a negative exponent.
¹/_12⁴

• ¹/_12^-4
• 12⁴
• ¹/_20,736
• 12^-4

Tags

CCSS.8.EE.A.1

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Tags

CCSS.8.EE.A.1

-4x⁰

• -4x
• -4
• 1
• -1

Tags

CCSS.8.EE.A.1

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Tags

CCSS.HSA.APR.A.1