4.1 - nth Roots and Rational Exponents

Front

What is the definition of an nth root?

Back

Front

What is the relationship between rational exponents and roots?

Back

Tags

CCSS.HSN.RN.A.2

Front

How do you express the square root of a number in rational exponent form?

Back

The square root of a number x can be expressed as @@ oot{2}{x} = x^{rac{1}{2}}@@.

Tags

CCSS.HSN.RN.A.2

Front

What is the value of @@ oot{3}{64}@@?

Back

The value of @@ oot{3}{64} = 4@@.

Front

How do you approximate the cube root of a negative number, such as @@ oot{3}{-2.01}@@?

Back

The cube root of a negative number is negative. For example, @@ oot{3}{-2.01} ext{ is approximately } -1.262@@.

Front

Back

Front

What does a fractional exponent indicate?

Back

Tags

CCSS.HSN.RN.A.2

Front

How can you convert @@ oot{2}{10}@@ into rational exponent form?

Back

@@ oot{2}{10} = 10^{rac{1}{2}}@@.

Tags

CCSS.HSN.RN.A.2

Front

What is the general formula for converting a root to a rational exponent?

Back

The general formula is @@ oot{n}{x} = x^{rac{1}{n}}@@.

Front

What is the value of @@ oot{4}{16}@@?

Back

The value of @@ oot{4}{16} = 2@@.