If you're seeing this message, it means we're having trouble loading external resources on our website.

Si estás detrás de un filtro de páginas web, por favor asegúrate de que los dominios *.kastatic.org y *.kasandbox.org estén desbloqueados.

Contenido principal

STANDARDS

 > 

US-NJ

Math

New Jersey Math

Number and Quantity: The Real Number System

N-RN.A

Extend the properties of exponents to rational exponents.

N-RN.A.1

Fully covered
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = 5^(1/3)^3 to hold, so (5^(1/3))^3 must equal 5.

N-RN.A.2

Mostly covered
Rewrite expressions involving radicals and rational exponents using the properties of exponents.

N-RN.B

Use properties of rational and irrational numbers.

N-RN.B.3

Fully covered
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.