Question

$${ \times }^{ 4 } + { \times }^{ 3 } - { \times }^{ 2 }$$

Answer

$$^8+^6-^4$$

Solution


Remove parentheses.
\[{}^{4}+{}^{3}-{}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{4}{}^{4}+{}^{3}-{}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{8}+{}^{3}-{}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{8}+{}^{3}{}^{3}-{}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{8}+{}^{6}-{}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{8}+{}^{6}-{}^{2}{}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{8}+{}^{6}-{}^{4}\]