Simplify this expression: # [(17/3-19/4+5/24)+5/24]^2-:(18/15+5/6-1/30)^3#?
2/9
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To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, calculate the terms inside the brackets, then perform the addition/subtraction within the brackets, then the exponentiation, and finally the division.
[ \left[ \left( \frac{17}{3} - \frac{19}{4} + \frac{5}{24} \right) + \frac{5}{24} \right]^2 - \left( \frac{18}{15} + \frac{5}{6} - \frac{1}{30} \right)^3 ]
[ = \left[ \left( \frac{136}{24} - \frac{114}{24} + \frac{5}{24} \right) + \frac{5}{24} \right]^2 - \left( \frac{24}{15} + \frac{20}{6} - \frac{1}{30} \right)^3 ]
[ = \left[ \left( \frac{27}{24} \right) + \frac{5}{24} \right]^2 - \left( \frac{8}{5} + \frac{100}{30} - \frac{1}{30} \right)^3 ]
[ = \left( \frac{32}{24} \right)^2 - \left( \frac{8}{5} + \frac{99}{30} \right)^3 ]
[ = \left( \frac{4}{3} \right)^2 - \left( \frac{8}{5} + \frac{33}{10} \right)^3 ]
[ = \left( \frac{16}{9} \right) - \left( \frac{41}{10} \right)^3 ]
[ = \frac{16}{9} - \left( \frac{68921}{1000} \right) ]
[ = \frac{16000}{9000} - \frac{68921}{1000} ]
[ = \frac{57179}{9000} ]
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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.
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.
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.
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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