Simplifying Expressions with Integral Exponents| Algebra| ENGG10 LE1 Problem 3

Simplify the given expression. Write the answer with positive exponents.

\left(\frac{\left(ab^2c\right)^{-3}}{b^{-3}}\right)^2

SOLUTION:

\left(\frac{\left(ab^2c\right)^{-3}}{b^{-3}}\right)^2=\left(\frac{a^{-3}b^{-6}c^{-3}}{b^{-3}}\right)^2

=\frac{a^{-6}b^{-12}c^{-6}}{b^{-6}}

=a^{-6}b^{-6}c^{-6}

=\frac{1}{a^6b^6c^6}

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