# How do you simplify #3^-2+2^-3#?

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As,

As,

Now find the LCM.... it is 72

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To simplify (3^{-2} + 2^{-3}):

- (3^{-2} = \frac{1}{3^2} = \frac{1}{9})
- (2^{-3} = \frac{1}{2^3} = \frac{1}{8})
- Add the fractions together: (\frac{1}{9} + \frac{1}{8})
- Find a common denominator, which is 72.
- Rewrite each fraction with the common denominator: (\frac{8}{72} + \frac{9}{72})
- Add the numerators: (\frac{8 + 9}{72} = \frac{17}{72})

So, (3^{-2} + 2^{-3}) simplifies to (\frac{17}{72}).

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