<PAGE>
OCTOBER 17, 1995
SECURITIES AND EXCHANGE COMMISSION
450 FIFTH STREET, N.W.
WASHINGTON, D.C. 20549
RE:RULE 24f-2 NOTICE--
NUVEEN TAX-EXEMPT UNIT TRUST, Series 748
(MI INS 056, NJ INS 179)
FILE NO. 33-54711
DEAR SIR OR MADAM:
IN ACCORDANCE WITH THE PROVISIONS OF RULE 24f-2, JOHN NUVEEN & CO.
INCORPORATED, SPONSOR OF THE ABOVE REFERENCED SERIES OF THE NUVEEN
TAX-EXEMPT UNIT TRUST, HEREBY FILES THE RULE 24f-2 NOTICE FOR SUCH
SERIES FOR THE PERIOD ENDED SEPTEMBER 30, 1995.
SECURITIES OF SUCH SERIES HAVING THE AGGREGATE VALUE SHOWN BELOW WERE
SOLD DURING THE FISCAL YEAR IN RELIANCE UPON THE REGISTRATION OF AN
INDEFINITE AMOUNT OF SECURITIES UNDER RULE 24f-2. ATTACHED TO THIS
NOTICE, AND MADE A PART OF HEREOF, IS AN OPINION OF COUNSEL INDICATING
THAT THE SECURITIES, THE REGISTRATION OF WHICH THIS NOTICE MAKES DEFINITE
IN NUMBER, WERE LEGALLY ISSUED, FULLY PAID, AND NON-ASSESSABLE.
IN ACCORDANCE WITH SUBSECTION (C) OF RULE 24f-2, A CERTIFIED CHECK IS
ENCLOSED, WHICH REPRESENTS THE REGISTRATION FEE FOR THE SECURITIES OF
THE REFERENCED SERIES DERIVED IN ACCORDANCE WITH THE PROVISIONS OF THE
RULE AS SET FORTH BELOW, TOGETHER WITH THE FEES FOR CERTAIN OTHER SERIES
FOR WHICH RULE 24f-2 NOTICES ARE BEING SUBMITTED CONCURRENTLY HEREWITH.
THE REGISTRATION FEE FOR THIS SERIES WAS COMPUTED AS FOLLOWS:
1. DOLLAR AMOUNT RECEIVED FOR UNITS SOLD DURING THE
FISCAL YEAR $ 263,294.37
2. LESS: AGGREGATE REPURCHASE PRICE OF UNITS REDEEMED
DURING THE FISCAL YEAR $ 82,964.19
3. DOLLAR AMOUNT OF UNITS UPON WHICH FEE IS PAYABLE $ 180,330.19
4. FEE (ONE TWENTY-NINTH OF 1.0% OF ITEM 3). $ 62.18
ANY QUESTIONS REGARDING THIS NOTICE SHOULD BE DIRECTED TO MY ATTENTION.
VERY TRULY YOURS,
JOHN NUVEEN & CO. INCORPORATED
/S/JAMES J. WESOLOWSKI
JAMES J. WESOLOWSKI
VICE PRESIDENT
<PAGE>
OCTOBER 17, 1995
SECURITIES AND EXCHANGE COMMISSION
450 FIFTH STREET, N.W.
WASHINGTON, D.C.
RE:RULE 24F-2 NOTICE FILED WITH RESPECT TO THE DESCRIBED SERIES OF THE
NUVEEN TAX-EXEMPT UNIT TRUST
-------------------------------------------------------------------
DEAR SIR OR MADAM:
I AM COUNSEL TO JOHN NUVEEN & CO. INCORPORATED, SPONSOR OF THE VARIOUS
SERIES OF THE NUVEEN TAX-EXEMPT UNIT TRUST, AND HAVE ADVISED IT IN
CONNECTION WITH ITS FILING FOR THE SERIES LISTED BELOW OF THE NOTICES
REQUIRED BY RULE 24F-2 FOR THE PERIOD ENDED SEPTEMBER 30, 1995, WHICH BY
THEIR TERMS UNDER THE RULE MAKE DEFINITE THE REGISTRATION OF UNITS OF
INTEREST IN EACH SUCH SERIES. I AM FAMILIAR WITH THE REGISTRATION
STATEMENT OF EACH SERIES FILED ON FORM S-6 AND ALL AMENDMENTS THERETO,
AND WITH THE PROCEDURES TAKEN AND PROPOSED TO BE TAKEN BY EACH SERIES
WITH RESPECT TO THE AUTHORIZATION, ISSUANCE AND SALE OF THE UNITS.
RULE 24F-2 NOTICES ARE BEING FILED CONCURRENTLY HEREWITH FOR THE
FOLLOWING SERIES:
NAME SEC FILE NO.
- ---- ------------
NUVEEN TAX-EXEMPT UNIT TRUST Series
- -----------------------------------
Series 748 33-54711
Series 750 33-55109
Series 752 33-55169
Series 753 33-55351
Series 754 33-55389
Series 755 33-55395
Series 756 33-55405
Series 757 33-55431
Series 758 33-55677
Series 759 33-55705
Series 760 33-55749
Series 761 33-55815
Series 762 33-55827
Series 763 33-55859
Series 764 33-55869
Series 765 33-55875
Series 766 33-55907
Series 767 33-56347
Series 768 33-56357
Series 769 33-56439
Series 770 33-56459
Series 771 33-56579
Series 772 33-56655
Series 773 33-56673
Series 774 33-56749
Series 775 33-56793
Series 776 33-56795
Series 777 33-56805
Series 778 33-56815
Series 779 33-56847
Series 780 33-57123
Series 781 33-57133
Series 782 33-57187
Series 783 33-57201
Series 784 33-57203
Series 785 33-57365
Series 786 33-57383
Series 787 33-57539
Series 788 33-57561
Series 789 33-57581
Series 790 33-57819
Series 791 33-57929
Series 792 33-57959
Series 793 33-58025
Series 794 33-58035
Series 795 33-58059
Series 796 33-58179
Series 797 33-58253
Series 798 33-58391
Series 799 33-58415
Series 800 33-58475
Series 801 33-58659
Series 802 33-58725
Series 803 33-58831
Series 804 33-58961
Series 805 33-59079
Series 806 33-59089
Series 807 33-59205
Series 808 33-59453
Series 809 33-59597
Series 810 33-59761
Series 811 33-59809
PAGE 2
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Series 812 33-60107
Series 813 33-60349
Series 814 33-60639
Series 815 33-61067
Series 816 33-61071
Series 817 33-60961
Series 818 33-61473
Series 819 33-61567
Series 820 33-61609
Series 821 33-61963
Series 822 33-62093
Series 823 33-62325
Series 824 33-62435
Series 825 33-62571
Series 826 33-62599
Series 827 33-62615
BASED UPON AN EXAMINATION AND MY KNOWLEDGE OF THE ACTIVITIES OF EACH OF
THE ABOVE LISTED SERIES, IT IS MY OPINION THAT THE UNITS THEREOF WERE
LEGALLY ISSUED, FULLY PAID AND NON-ASSESSABLE.
I CONSENT TO THE FILING OF THIS OPINION IN CONNECTION WITH THE RULE 24F-2
NOTICE FOR EACH SUCH SERIES FOR THE PERIOD ENDED SEPTEMBER 30, 1995.
VERY TRULY YOURS,
JOHN NUVEEN & CO. INCORPORATED
/S/JAMES J. WESOLOWSKI
JAMES J. WESOLOWSKI
GENERAL COUNSEL
