Unit 3 Lesson 4&5 Practice (23-24)

Front

What is the radical form of the expression 10^{2/3}?

Back

∛10^2

Front

How do you rewrite the expression 8^{-1} as a fraction?

Back

\frac{1}{8}

Front

What is the fraction form of 5^{-2}?

Back

\frac{1}{25}

Front

Rewrite the expression 15^{3/2} in radical form.

Back

√15^3

Front

How do you express 40^{-1/2} as a radical?

Back

\frac{1}{\sqrt{40}}

Front

What is the general rule for converting a negative exponent to a positive exponent?

Back

a^{-n} = \frac{1}{a^n}

Front

How do you convert a fractional exponent to radical form?

Back

a^{m/n} = \sqrt[n]{a^m}

Front

What is the relationship between exponents and roots?

Back

The nth root of a number can be expressed as a fractional exponent: \sqrt[n]{a} = a^{1/n}.

Front

What is the value of 2^{3/2}?

Back

2^{3/2} = \sqrt{2^3} = \sqrt{8} = 2\sqrt{2}.

Front

How do you simplify the expression (x^{1/2})^2?

Back

(x^{1/2})^2 = x^{(1/2) \cdot 2} = x^1 = x.