Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac { \gt c a l c u l e r e t s } { \frac { - 5 } { 4 } \times \frac { 7 } { 6 } }$$

Answer

$$Ca*e^2*l^2*c*u*r*t*s-35/24$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Ca{l}^{2}cu{e}^{2}rts-\frac{5}{4}\times \frac{7}{6}\]
Regroup terms.
\[Ca{e}^{2}{l}^{2}curts-\frac{5}{4}\times \frac{7}{6}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[Ca{e}^{2}{l}^{2}curts-\frac{5\times 7}{4\times 6}\]
Simplify  \(5\times 7\)  to  \(35\).
\[Ca{e}^{2}{l}^{2}curts-\frac{35}{4\times 6}\]
Simplify  \(4\times 6\)  to  \(24\).
\[Ca{e}^{2}{l}^{2}curts-\frac{35}{24}\]
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