Answer
$$256\ a^8b^{12}c^{16}
.$$
Work Step by Step
By raising each factor to the power and multiplying the exponents, we have
$$(-4a^2b^3c^4)^4=(-4)^4a^8b^{12}c^{16}= 256\ a^8b^{12}c^{16}
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 5 - Section 5.4 - Multiplication of Monomials - Exercise - Page 224: 46
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