LIMITED POWER OF ATTORNEY
                          FOR SECTION 16(a) REPORTING

        KNOW ALL PERSONS BY THESE PRESENTS, that the undersigned hereby makes,
constitutes and appoints Theodore S. Kim, Micheal J. Reagan, W. Stuart Ogg and
Frances P. Dea, and each of them, as the undersigned's true and lawful attorney-
in-fact (the "Attorney-in-Fact"), with full power of substitution and
resubstitution, each with the power to act alone for the undersigned and in the
undersigned's name, place and stead, in any and all capacities to:

        1.  Prepare, execute in the undersigned's name and on the undersigned's
behalf, and submit to the Securities and Exchange Commission ("SEC") a Form ID,
including amendments thereto, and any other documents necessary or appropriate
to obtain codes and passwords enabling the undersigned to make electronic
filings with the SEC of reports required or considered advisable under Section
16(a) of the Securities Exchange Act of 1934 (the "Exchange Act") or any rule or
regulation of the SEC;

        2.  Prepare, execute and submit to the SEC, any national securities
exchange or securities quotation system and MagnaChip Semiconductor Corporation
(the "Company") any and all reports (including any amendment thereto) of the
undersigned required or considered advisable under Section 16(a) of the Exchange
Act and the rules and regulations thereunder, with respect to the equity
securities of the Company, including Forms 3, 4 and 5; and

        3.  Obtain, as the undersigned's representative and on the undersigned's
behalf, information regarding transactions in the Company's equity securities
from any third party, including the Company and any brokers, dealers, employee
benefit plan administrators and trustees, and the undersigned hereby authorizes
any such third party to release any such information to the Attorney-in-Fact.

        The undersigned acknowledges that:

        (a) This Limited Power of Attorney authorizes, but does not require, the
Attorney-in-Fact to act at his or her discretion on information provided to such
Attorney-in-Fact without independent verification of such information;

        (b) Any documents prepared or executed by the Attorney-in-Fact on behalf
of the undersigned pursuant to this Limited Power of Attorney will be in such
form and will contain such information as the Attorney-in-Fact, in his or her
discretion, deems necessary or desirable;

        (c) Neither the Company nor the Attorney-in-Fact assumes any liability
for the undersigned's responsibility to comply with the requirements of Section
16 of the Exchange Act, any liability of the undersigned for any failure to
comply with such requirements, or any liability of the undersigned for
disgorgement of profits under Section 16(b) of the Exchange Act; and

        (d) This Limited Power of Attorney does not relieve the undersigned from
responsibility for compliance with the undersigned's obligations under Section
16 of the Exchange Act, including, without limitation, the reporting
requirements under Section 16(a) of the Exchange Act.

        The undersigned hereby grants to the Attorney-in-Fact full power and
authority to do and perform each and every act and thing requisite, necessary or
convenient to be done in connection with the foregoing, as fully, to all intents
and purposes, as the undersigned might or could do in person, hereby ratifying
and confirming all that the Attorney-in-Fact, or his or her substitute or
substitutes, shall lawfully do or cause to be done by authority of this Limited
Power of Attorney.

        This Limited Power of Attorney shall remain in full force and effect
until the undersigned is no longer required to file Forms 4 or 5 with respect to
the undersigned's holdings of and transactions in equity securities of the
Company, unless earlier revoked by the undersigned in a signed writing delivered
to the Attorney-in-Fact.  This Limited Power of Attorney revokes all previous
powers of attorney with respect to the subject matter of this Limited Power of
Attorney.

        IN WITNESS WHEREOF, the undersigned has executed this Limited Power of
Attorney as of July 15, 2020.


                              Signature:  /s/ Kyo-Hwa Liz Chung
                                         ----------------------
                              Print Name: Kyo-Hwa (Liz) Chung
                                          -------------------