Fractional Exponents/Nth Roots

Front

What is a fractional exponent?

Back

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

Front

Rewrite the expression x^(1/2) in radical form.

Back

√x

Front

What is the relationship between exponents and roots?

Back

Exponents can be expressed as roots; for example, x^(1/n) is equivalent to the nth root of x.

Front

How do you simplify the expression (x^(1/3))^3?

Back

x^(1/3 * 3) = x^1 = x.

Front

What is the cube root of x^3?

Back

x.

Front

If y^(2/3) is written as a radical expression, what is it?

Back

∛(y²).

Front

What is the area of a square if each side is 9 cm?

Back

81 cm².

Front

How do you find the side length of a square given its area?

Back

Take the square root of the area.

Front

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

Back

2√2.

Front

What does the expression 4^(1/2) represent?

Back

The square root of 4, which is 2.