UNIT 6.2 - RATIONAL EXPONENTS

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/2) is the square root of x.

Front

Simplify: 4^(3/2)

Back

8

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be expressed as roots. For example, x^(m/n) = n√(x^m).

Front

Simplify: 27^(2/3)

Back

9

Front

Convert the expression x^(1/3) to radical form.

Back

The radical form is ∛x.

Front

What does the expression 16^(3/4) represent?

Back

It represents the fourth root of 16 raised to the power of 3, which equals 64.

Front

Simplify: (x^(1/2))^4

Back

x^2

Front

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

Back

2

Front

Convert the expression 81^(2/4) to radical form.

Back

The radical form is √(81^2), which equals 81.

Front

Simplify: (x^(3/4) * x^(1/4))

Back

x^(1) or x.