Converting between Radicals and Rational Exponents

Front

What is the radical form of x^(1/2)?

Back

√x

Front

Convert 4^(3/2) to radical form.

Back

√(4^3) = √64 = 8

Front

What is the exponential form of √(x)?

Back

x^(1/2)

Front

Convert 27^(1/3) to radical form.

Back

∛27 = 3

Front

What is the value of (x^(1/4))^2?

Back

x^(1/2)

Front

Rewrite 16^(3/4) in radical form.

Back

√(16^3) = √(4096) = 64

Front

What is the radical form of x^(5/2)?

Back

√(x^5)

Front

Convert 81^(1/4) to radical form.

Back

∜81 = 3

Front

What is the exponential form of ∛(x)?

Back

x^(1/3)

Front

Rewrite √(x^2) in exponential form.

Back

x^(2/2) = x^1 = x