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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- Dec 4th 2009, 01:38 PMJadeKiaraExact Value of Indices
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. - Dec 4th 2009, 01:50 PMskeeter
- Dec 4th 2009, 01:53 PMRaoh
hi(Happy)

$\displaystyle \forall x\in \mathbb{R}^{+*},x^{\frac{1}{n}}=\exp(\frac{1}{n}\l n x)$ - Dec 4th 2009, 02:06 PMJadeKiara
9^3/2 x 7^1

= (9^1/2)^3 x 7

= 27 x 7

= 189. - Dec 4th 2009, 02:11 PMRaoh