5.1 nth Roots and Use Rational Exponents

Front

What is the radical form of y²/³?

Back

∛y²

Front

What is the definition of 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.

Front

How do you express ∛x⁷ in exponential form?

Back

x⁷/³

Front

What is the relationship between roots and exponents?

Back

The nth root of a number can be expressed as a fractional exponent: ∛x = x^(1/3).

Front

What is the value of x if x² = 9?

Back

x = ±3.

Front

How do you convert a radical expression to an exponent?

Back

To convert a radical expression, use the formula: √a = a^(1/2) and ∛a = a^(1/3).

Front

What is the radical form of x^(3/4)?

Back

√(x³) or 4√(x³).

Front

What is the value of 2^(1/2)?

Back

√2.

Front

If a = 4, what is the value of a^(1/2)?

Back

2.

Front

What is the definition of a square root?

Back

A square root of a number x is a number y such that y² = x.