Fractional Exponents/Nth Roots

Front

What is a fractional exponent?

Back

A fractional exponent represents both a power and a root. For example, x^(1/n) is the nth root of x.

Front

What is the cube root of a number?

Back

The cube root of a number x is a value y such that y^3 = x.

Front

How do you simplify x^(m/n)?

Back

x^(m/n) = n√(x^m), where n is the root and m is the power.

Front

What is the value of 27^(1/3)?

Back

3

Front

What is the square root of 16?

Back

4

Front

What is the value of √17?

Back

Between 4 and 5.

Front

What is the cube root of 8?

Back

2

Front

How do you express the square root of x in exponent form?

Back

x^(1/2) or x^(0.5).

Front

What is the value of 64^(1/6)?

Back

2

Front

What does it mean if a number has a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.