Example

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

Question

$$\frac{04)\times(0.125)^{1/3}}{(2\frac{1}{2})^{-3}}$$

Answer

$$4.3730170991266*10^-9$$

Solution


Use Rule of One: \({x}^{1}=x\).
\[\times \frac{0.125}{3}\times {212}^{-3}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\times \frac{0.125}{3}\times \frac{1}{{212}^{3}}\]
Simplify  \({212}^{3}\)  to  \(9528128\).
\[\times \frac{0.125}{3}\times \frac{1}{9528128}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\times 0.125\times 1}{3\times 9528128}\]
Simplify  \(\times 0.125\)  to  \(\times 0.125\).
\[\frac{0.125}{3\times 9528128}\]
Simplify  \(3\times 9528128\)  to  \(28584384\).
\[\frac{0.125}{28584384}\]
Simplify.
\[4.373017\times {10}^{-9}\]
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