Unit 1 Review: Exponent Rules & Radical Equations

According to exponent rules, when we multiply powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

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

• add
• subtract
• multiply
• divide

Tags

CCSS.HSA.APR.A.1

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Tags

CCSS.HSA.APR.A.1

Simplify the following expression:

x¹⁸y¹⁵ / x⁶y³

• x³y⁵

• x¹²y¹²

• x²⁴y¹⁸

• x¹⁰⁸y⁴⁵

Tags

CCSS.HSA.APR.A.1

Simplify the following expression:

x¹⁰ ÷ x²

• x⁵

• x¹²

• x⁸

• x²⁰

Tags

CCSS.HSA.APR.A.1

Simplify the following expression:

(30y¹²) / (15y²)

• 2y²⁴

• 2¹⁰

• 2y¹⁰

• 2y¹⁴

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$  

•  $x^{\frac{4}{3}}y^{\frac{5}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{1}{2}}$  

•  $x^{\frac{1}{3}}y^{\frac{3}{2}}$  

•  $x^{\frac{2}{3}}y^{\frac{4}{3}}$  

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.  $4v^{\frac{2}{3}}\cdot v^{-1}$  
  

•  $4v^{\frac{1}{3}}$  

•  $\frac{4}{v^{\frac{1}{3}}}$  

•  $\frac{v^{\frac{1}{3}}}{4}$  

•  $\frac{1}{4v^{\frac{1}{3}}}$  

Tags

CCSS.HSA.APR.A.1

Simplify . Your answer should contain only positive exponents.  $\left(x^{\frac{5}{3}}y^{-2}\right)^0$  

•  $1$  

•  $\frac{x^{\frac{5}{3}}}{y^2}$  

•  $x^{\frac{5}{3}}y^2$  

•  $\frac{y^2}{x^{\frac{5}{3}}}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify . Your answer should contain only positive exponents.  $\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}$  

•  $\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $a^{\frac{1}{2}}b^{\frac{1}{2}}$  

•  $-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}$  

•  $-a^{\frac{1}{2}}b^{\frac{1}{2}}$  

Tags

CCSS.HSA.APR.A.1