SOLUTION: Work out the value of 9 to the power of -3/2 Could you please give a method which doesn't use a calculator.

SOLUTION: Work out the value of 9 to the power of -3/2 Could you please give a method which doesn't use a calculator.

Algebra.Com

Question 599571: Work out the value of 9 to the power of -3/2
Could you please give a method which doesn't use a calculator.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Work out the value of 9 to the power of -3/2
the reciprocal will get rid of the negative; exponent 1/2 is the same as square root, so write it
= ,
factor inside the radical to reveal a perfect square
,
extract the perfect square
,
we know what the square root of 9 is
=
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