Exponents: Rational exponents
Exponents: Rational exponents
Basic concepts:
 Convert between radicals and rational exponents
Related concepts:
 Power rule
Lessons
Notes:
• ${^n}\sqrt{x}=x^{\frac{1}{n}}$
• $x^{\frac{1}{n}}=\frac{1}{x^{\frac{1}{n}}}=\frac{1}{{^n}\sqrt{x}}$
• $x^{\frac{m}{n}}={^n}\sqrt{x^m}$

2.
Simplifying Expressions Using: ${^n}\sqrt{x}=x^{\frac{1}{n}}$
Simplify the following expressions if possible. 
3.
evaluate:

a)
$(25)^{1 \over 2}$

b)
$(4)^{1 \over 2}$

c)
$(10)^{3 \over 8}$


4.
Simplifying Expressions Using: $x^{\frac{1}{n}}=\frac{1}{x^{\frac{1}{n}}}=\frac{1}{{^n}\sqrt{x}}$
Simplify the following expressions. 
5.
Simplifying Expressions Using: $x^{\frac{m}{n}}={^n}\sqrt{x^m}$
Simplify the following expressions if possible.