The exchange wallet supports the transfer of both Ethereum-based ISK and Klaytn-based ISK. Feel free to send your ISKs to the exchange wallet with the 'Send' feature in the Iskra Wallet. Once the transfer is succeeded, you can view the deposit/withdrawal history on both Iskra wallet and exchange wallet.
Please refer to the 'Where Can I View my Transaction History' section on how to inquire my transaction history in Iskra Wallet.