What is #(9/16)^(-3/2)# in fractional or radical form?

Answer 1

Eva Abramson

=#64/27#

#(9/16)^(-3/2)" "(a/b)^-m = (b/a)^(+m)#

#(16/9)^(3/2) " "x^(m/n) = (rootn x)^m#

#sqrt(16/9)^3 = (4/3)^3#

=#64/27#

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Answer 2

Nathan Axel

( \left(\frac{9}{16}\right)^{-\frac{3}{2}} ) in fractional or radical form is ( \left(\frac{16}{9}\right)^{\frac{3}{2}} ), or in radical form, ( \sqrt{\frac{16}{9}} ). Simplifying further, ( \sqrt{\frac{16}{9}} = \frac{\sqrt{16}}{\sqrt{9}} = \frac{4}{3} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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