Is there a simple way to find the exact value of these? There are no examples in the textbook for indices, other than powers of 1/2 and 1/3. 1. (1/36)^-3/2 2. 216^1/6 x 216^1/6 3. 9^3/2 x 7^1 Thanks in advance.
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Originally Posted by JadeKiara Is there a simple way to find the exact value of these? There are no examples in the textbook for indices, other than powers of 1/2 and 1/3. 1. (1/36)^-3/2 2. 216^1/6 x 216^1/6 3. 9^3/2 x 7^1 Thanks in advance. $\displaystyle \left(\frac{1}{36}\right)^{-\frac{3}{2}} = 36^{\frac{3}{2}} = \left(36^{\frac{1}{2}}\right)^3 = 6^3 = 216$ $\displaystyle \left(216^{\frac{1}{6}}\right)^2 = 216^{\frac{1}{3}} = 6$ you do the last one ...
hi $\displaystyle \forall x\in \mathbb{R}^{+*},x^{\frac{1}{n}}=\exp(\frac{1}{n}\l n x)$
9^3/2 x 7^1 = (9^1/2)^3 x 7 = 27 x 7 = 189.
Originally Posted by JadeKiara 9^3/2 x 7^1 = (9^1/2)^3 x 7 = 27 x 7 = 189. Good
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