Question

simplify and write the answer in exponential form (13⁴×13⁵)÷13⁶​

Answer 1

Step-by-step explanation:

13^(14+15-6) ( using law of indices )

13^23

Answer 2

$\implies \frac{ {13}^{4} \times {13}^{5} }{ {13}^{6} } \\ \\ \implies \frac{ {13}^{(4 + 5)} }{ {13}^{6} } \\ \\ \implies \frac{ {13}^{ {9}} }{ {13}^{{6}} } \\ \\ \implies {13}^{(9 - 6)} \\ \\ \implies {13}^{3} \\ \\ \\ \\ \underline{\boxed{\sf{ \frac{ {13}^{4} \times {13}^{5} }{ {13}^{6} } = {13}^{3} }}}$