5.1 Rational Exponents and Radical Expressions Review

Front

What is the value of 125^(2/3)?

Back

25

Front

What is the value of 8^(5/3)?

Back

32

Front

Write ∛x⁷ in exponential form.

Back

x^(7/3)

Front

Simplify 1/(2^10).

Back

1/1024

Front

Solve for x: (x − 5)^(4) = 256.

Back

x = 1 and x = 9

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

Convert the radical expression √(x^4) to exponential form.

Back

x^(4/2) or x^2

Front

What is the relationship between rational exponents and radical expressions?

Back

Rational exponents can be expressed as roots; for example, x^(1/n) is equivalent to ∛x.

Front

Simplify: (27^(1/3)).

Back

3

Front

What is the value of 64^(2/3)?

Back

16