5.1 nth Roots and Use Rational Exponents

Front

What is the exponential form of ∛x⁷?

Back

x⁷/3

Front

Solve for x: x² = 9

Back

x = ±3

Front

Write as a radical expression: y²/3

Back

∛y²

Front

Rewrite in radical form: x^(1/2)

Back

√x

Front

What is the definition of a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator is the power and the denominator is the root.

Front

Convert 4^(1/2) to radical form.

Back

√4

Front

What is the nth root of a number?

Back

The nth root of a number x is a number r such that r^n = x.

Front

Express 27^(1/3) in radical form.

Back

∛27

Front

If x^(1/4) = 16, what is x?

Back

x = 16^4 = 65536

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents represent roots; for example, x^(1/n) is the nth root of x.