Fractional (Rational) Exponents and Radicals

Front

What is a fractional exponent?

Back

A fractional exponent represents both an exponent and a root. For example, a^(m/n) means the n-th root of a raised to the m-th power.

Front

What is the radical sign?

Back

The radical sign (√) is used to indicate the square root or nth root of a number.

Front

What is the radicand?

Back

The radicand is the number or expression under the radical sign.

Front

What is the value of 7^1?

Back

7

Front

What is the value of √(x^2)?

Back

x, assuming x is non-negative.

Front

How do you express √7 using fractional exponents?

Back

7^(1/2)

Front

What is the cube root of 27?

Back

3

Front

What is the value of (-∛27)?

Back

-3

Front

True or False: 1, 4, 9, 27, 81, 100 are all perfect squares.

Back

False

Front

What does the expression 2^(3/2) represent?

Back

It represents the square root of 2 raised to the 3rd power, or √2^3.