Question

Simplify the following using laws of exponents 8⁴÷6²

Answer 1

Step-by-step explanation:

${8}^{4} \div {6}^{2} \\ = \frac{ {8}^{4} }{ {6}^{2} } \\ = \frac{ {( {2}^{3}) }^{4} }{( {2 \times 3})^{2} } \\ = \frac{ {2}^{12} }{ {2}^{2} \times {3}^{2} } \\ = \frac{ {2}^{(12 - 2)} }{ {3}^{2} } \\ = \frac{ {2}^{10} }{ {3}^{2} }$