Chapter 7 Lesson 1-3 Review

Chapter 7 Lesson 1-3 Review

LT: Simplify expressions using properties of exponents. HSA-SSE.A.2.c 

LT: Evaluate and rewrite expressions involving rational exponents. HSN-RN.A.2.a 

LT: Solve equations involving expressions with rational exponents. HSN-RN.A.2.b 

Product of Powers Law of Exponents

 $a^m\times a^n=a^{m+n}$  

Multiple Choice

Simplify the following expression:

r⁶ ⋅ r² ⋅ r³

• r⁶²³

• r¹¹

• 11r

• r³⁶

Multiple Choice

Simplify the following expression:

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Power of Powers Law of Exponents

 $\left(a^m\right)^n=a^{m\times n}$  

Multiple Choice

(n²)³

• n⁶

• n⁵

• n⁸

• 3n²

Power of Product Law of Exponents

 $\left(ab\right)^m=a^mb^m$  

Multiple Choice

(3m²n)³

• 27m⁶n³

• 3m⁶n³

• 9m⁵n⁴

• 729m²n³

Quotient of Powers Law of Exponents

 $\frac{a^m}{a^n}=a^{m-n}$  

Multiple Choice

• x¹¹

• x¹⁸

• x⁷y

• x⁷

Multiple Choice

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Power of Quotients Law of Exponents

 $\left(\frac{a}{b}\right)^m=\frac{a^m}{b^m}$  

Zero Exponent

 Law of Exponents

 $a^0=1$  

Multiple Choice

Solve

• 0
• 1
• m¹
• m

Zero Exponent

 Law of Exponents

 $a^0=1$  

Multiple Choice

Rewrite using a positive exponent.

7^-10

• ¹/₇¹⁰

• 7¹⁰

• ¹/₇^-10

• -70

Multiple Select

What is a radical?

•  $\sqrt{ }$  

•  $x^{\frac{m}{n}}$  

• an expression that uses a root, such as square root, cube root

Rational Exponents

rational exponents = fractional exponents

Fractional/rational exponents become radical (  $\sqrt{ }$  )

Multiple Choice

Change this expression to a Radical

 $y^{\frac{1}{3}}$  

• ∛y

• y³

• √y

• 1∕ 3y

Multiple Choice

Write in exponential form

∛x⁷

• x⁷∕ ³

• x3⁄7

• 3x⁷

• 7x³

Multiple Choice

Simplify:

• 2
• 4
• 16
• 64