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2 votes
9-^1/2 27^-2/3 evaluate

User Jeremy Kie
by
6.7k points

1 Answer

2 votes

Answer:


(1)/(27)

Explanation:

Using the rules of exponents/ radicals


a^(-m) =
(1)/(a^(m) )


a^{(m)/(n) } =
\sqrt[n]{a^(m) }

Given


9^{-(1)/(2) } ×
27^{-(2)/(3) }

=
\frac{1}{9^{(1)/(2) } } ×
\frac{1}{27^{(2)/(3) } }

=
(1)/(√(9) ) ×
\frac{1}{\sqrt[3]{27^(2) } }

=
(1)/(3) ×
(1)/(3^(2) )

=
(1)/(3) ×
(1)/(9)

=
(1)/(27)

User Cryssy
by
7.1k points
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