Calculate: (16^{\frac{3)/(4)}-8^{(1)/(3)}}{2^2 * 3}

Expression: $\frac{ {16}^{\frac{ 3 }{ 4 }}-{8}^{\frac{ 1 }{ 3 }} }{ {2}^{2} \times 3 }$

Write the number in exponential form with the base of $2$

$\frac{ {\left( {2}^{4} \right)}^{\frac{ 3 }{ 4 }}-{8}^{\frac{ 1 }{ 3 }} }{ {2}^{2} \times 3 }$

Write the number in exponential form with the base of $2$

$\frac{ {\left( {2}^{4} \right)}^{\frac{ 3 }{ 4 }}-{\left( {2}^{3} \right)}^{\frac{ 1 }{ 3 }} }{ {2}^{2} \times 3 }$

Simplify the expression by multiplying exponents

$\frac{ {2}^{3}-{\left( {2}^{3} \right)}^{\frac{ 1 }{ 3 }} }{ {2}^{2} \times 3 }$

Simplify the expression by multiplying exponents

$\frac{ {2}^{3}-2 }{ {2}^{2} \times 3 }$

Evaluate the power

$\frac{ 8-2 }{ {2}^{2} \times 3 }$

Subtract the numbers

$\frac{ 6 }{ {2}^{2} \times 3 }$

Cancel out the common factor $3$

$\frac{ 2 }{ {2}^{2} }$

Cancel out the common factor $2$

$\begin{align*}&\frac{ 1 }{ 2 } \\&\begin{array} { l }0.5,& {2}^{-1}\end{array}\end{align*}$