Alg1.1.9

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Simplify \left((-9)^{3/4}\right)^2\,

=(-9)^{3/2}\,

=(-3^2)^{3/2}\,

Use the exponent rule: (ab)^n = a^nb^n\,.

=(-1)^{3/2}(3^2)^{3/2}\,

=(-1)^{3/2}3^3\,

=\sqrt{(-1)^3}\cdot 27\,

=\sqrt{-1}\cdot 27\,

=27i\,


Main Page : Algebra : Algebra-Exponents

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