# \ #
# "We can simplify this by using one Rule for Exponents," #
# "and only one time." #
# "We compute:" #
# 5^{1/3} \cdot 25^{1/3} \ = \ ( 5 \cdot 25 )^{1/3} \qquad \qquad \qquad \ "Rule for Exponents:" \quad a^nb^n = (ab)^n #
# \qquad \qquad \qquad \quad \ = \ root(3)( 5 \cdot 25 ) \qquad \qquad \qquad \quad \ "Definition of Rational Exponent"#
# \qquad \qquad \qquad \quad \ = \ root(3)( 125 ) \qquad \qquad \qquad \qquad \quad \ "Computation" #
# \qquad \qquad \qquad \quad \ = \ root(3)( 125 ) \qquad \qquad \qquad \qquad \quad \ "Numerical Fact" #
# \ #
# "And so we are done:" #
# \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad 5^{1/3} \cdot 25^{1/3} \ = \ 5. #
