Exponents
8th Grade


Alabama Course of Study Standards:
3

Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. 
Arizona Academic Standards:
8.EE.A.1

Understand and apply the properties of integer exponents to generate equivalent numerical expressions. 
Common Core State Standards:
Math.8.EE.1 or 8.EE.A.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^{2} × 3^{–5} = 3^{–3} = 1/3^{3} = 1/27 
Georgia Standards of Excellence (GSE):
8.NR.2.1

Apply the properties of integer exponents to generate equivalent numerical expressions. 
North Carolina  Standard Course of Study:
8.EE.1

Develop and apply the properties of integer exponents to generate equivalent numerical expressions. 
New York State Next Generation Learning Standards:
8.EE.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions. 3^{2} × 3^{–5} = 3^{–3} = 1/3^{3} = 1/27 
Wisconsin Academic Standards:
8.EE.A.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^{2} × 3^{–5} = 3^{–3} = 1/3^{3} = 1/27 
Alabama Course of Study Standards:
4

Use square root and cube root symbols to represent solutions to equations. Evaluate square roots of perfect squares (less than or equal to 225) and cube roots of perfect cubes (less than or
equal to 1000).
 Explain that the square root of a nonperfect square is irrational.

Arizona Academic Standards:
8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form x^{2} = p and x^{3} = p, where p is a positive rational number. Know that √2 is irrational.  Evaluate square roots of perfect squares less than or equal to 225.
 Evaluate cube roots of perfect cubes less than or equal to 1000.

Common Core State Standards:
Math.8.EE.2 or 8.EE.A.2

Use square root and cube root symbols to represent solutions to equations of the form x^{2} = p and x^{3} = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. 
Georgia Standards of Excellence (GSE):
8.NR.2.2

Use square root and cube root symbols to represent solutions to equations. Recognize that x^{2} = p (where p is a positive rational number and x ? 25) has two solutions and x3 = p (where p is a negative or positive rational number and x ? 10) has one solution. Evaluate square roots of perfect squares ? 625 and cube roots of perfect cubes ? 1000 and ? 1000. 
North Carolina  Standard Course of Study:
8.EE.2

Use square root and cube root symbols to: Represent solutions to equations of the form x^{2} = p and x^{3} = p, where p is a positive rational number.
 Evaluate square roots of perfect squares and cube roots of perfect cubes for positive numbers less than or equal to 400.

New York State Next Generation Learning Standards:
8.EE.2

Use square root and cube root symbols to represent solutions to equations of the form x^{2} = p and x^{3} = p, where p is a positive rational number. Know square roots of perfect squares up to 225 and cube roots of perfect cubes up to 125. Know that the square root of a nonperfect square is irrational. e.g., The √2 is irrational. 
Pennsylvania Core Standards:
CC.2.2.8.B.1

Apply concepts of radicals and integer exponents to generate equivalent expressions. 
Pennsylvania Core Standards:
M08.BE.1.1.1

Apply one or more properties of integer exponents to generate equivalent numerical expressions without a calculator (with final answers expressed in exponential form with positive exponents). 
Pennsylvania Core Standards:
M08.BE.1.1.2

Use square root and cube root symbols to represent solutions to equations of the form x2= p and x3= p, where p is a positive rational number. Evaluate square roots of perfect squares (up toand including 122) and cube roots of perfect cubes (up to and including 53) without a calculator. 
Florida  Benchmarks for Excellent Student Thinking:
MA.8.NSO.1.3

Extend previous understanding of the Laws of Exponents to include integer exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to integer exponents and rational number bases, with procedural fluency. 
Florida  Benchmarks for Excellent Student Thinking:
MA.8.AR.1.1

Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases. 
Georgia Standards of Excellence (GSE):
8.NR.2.1

Apply the properties of integer
exponents to generate equivalent
numerical expressions. 
Georgia Standards of Excellence (GSE):
8.NR.2.2

Use square root and cube root
symbols to represent solutions to
equations. Recognize that x^{2} = p
(where p is a positive rational number
and x ≤ 25) has two solutions and x^{3}
= p (where p is a negative or positive
rational number and x ≤ 10) has one
solution. Evaluate square roots of
perfect squares ≤ 625 and cube roots
of perfect cubes ≥ 1000 and ≤ 1000. 
Arkansas Academic Standards:
8.NCC.3

Know and apply the properties of integer exponents to generate equivalent numerical expressions. 
Arkansas Academic Standards:
8.NCC.7

Solve equations in the form of x^{2} = p or x^{3} = p where p is a positive rational number. 
Arkansas Academic Standards:
8.NCC.8

Evaluate square roots of perfect squares and cube roots of perfect cubes. 
