What is (((6/5+1/3)-(1/2+3/4))/(5/2-16/3))^3 ?

The solution to (((6/5+1/3)-(1/2+3/4))/(5/2-16/3))^3 is -1/1000

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simplify (((6/5+1/3)-(1/2+3/4))/(5/2-16/3))^3

simplify

(\frac{( \frac{6}{5} + \frac{1}{3} ) - ( \frac{1}{2} + \frac{3}{4} )}{\frac{5}{2} - \frac{16}{3}})^{3}

- \frac{1}{1000}

Decimal Notation

- 0.001

Solution steps

(\frac{( \frac{6}{5} + \frac{1}{3} ) - ( \frac{1}{2} + \frac{3}{4} )}{\frac{5}{2} - \frac{16}{3}})^{3}

Apply rule:

(a) = a

(\frac{6}{5} + \frac{1}{3}) = \frac{6}{5} + \frac{1}{3}

= (\frac{\frac{6}{5} + \frac{1}{3} - ( \frac{1}{2} + \frac{3}{4} )}{\frac{5}{2} - \frac{16}{3}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( \frac{6}{5} + \frac{1}{3} - ( \frac{1}{2} + \frac{3}{4} ) ) ^{3}}{( \frac{5}{2} - \frac{16}{3} ) ^{3}}

(\frac{6}{5} + \frac{1}{3} - (\frac{1}{2} + \frac{3}{4}))^{3} = \frac{4913}{216000}

= \frac{\frac{4913}{216000}}{( \frac{5}{2} - \frac{16}{3} ) ^{3}}

(\frac{5}{2} - \frac{16}{3})^{3} = - \frac{4913}{216}

= \frac{\frac{4913}{216000}}{- \frac{4913}{216}}

\frac{\frac{4913}{216000}}{- \frac{4913}{216}} = - \frac{1}{1000}

= - \frac{1}{1000}

- 10 - (- 10)

- 2 \cdot - 5

\frac{x ^{2} + x - 30}{x ^{2} - 3 x - 54}

25 x^{2} y^{2}

2 (4 f + 2 g)

What is (((6/5+1/3)-(1/2+3/4))/(5/2-16/3))^3 ?
The solution to (((6/5+1/3)-(1/2+3/4))/(5/2-16/3))^3 is -1/1000