SOLUTION: {{{ (3x^3y^-3)^4 }}} solve show steps please :)

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Question 314608: +%283x%5E3y%5E-3%29%5E4+
solve show steps please :)

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Raise each factor to the 4th power. Don't forget to raise 3 to the 4th power, which is 81, and remember the Law of Exponents that when you raise a power to a power, you MULTIPLY the exponents.

+%283x%5E3y%5E-3%29%5E4+
+%283%5E4x%5E12y%5E-12%29+
81x%5E12%2A%281%2Fy%5E12%29+
%2881x%5E12%29%2F%28y%5E12%29

For additional help with the Laws of Exponents, please see my OWN website by clicking on my tutor name "rapaljer" anywhere in algebra.com. Click on my website which is given there, and look on my Homepage for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Select "Basic Algebra", and look in "Chapter 2" for "2.12 and 2.13." In addition to a detailed explanation, with examples, exercises, and ALL the answers, many of the exercises are solved IN COLOR on the "Math in Living Color" pages that go with these sections.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus