Solve {left(1+8.6/3right)}^3-1

$${ \left(1+ \frac{ 8.6 }{ 3 } \right) }^{ 3 } -1$$

Evaluate

$$\frac{191737}{3375}\approx 56.810962963$$

Solution Steps

Expand \frac{8.6}{3} by multiplying both numerator and the denominator by 10.

$$\left(1+\frac{86}{30}\right)^{3}-1$$

Reduce the fraction \frac{86}{30} to lowest terms by extracting and canceling out 2.

$$\left(1+\frac{43}{15}\right)^{3}-1$$

Add 1 and \frac{43}{15} to get \frac{58}{15}.

$$\left(\frac{58}{15}\right)^{3}-1$$

Calculate \frac{58}{15} to the power of 3 and get \frac{195112}{3375}.

$$\frac{195112}{3375}-1$$

Subtract 1 from \frac{195112}{3375} to get \frac{191737}{3375}.

$$\frac{191737}{3375}$$

Factor

$$\frac{13 \cdot 43 \cdot 7 ^ {3}}{3 ^ {3} \cdot 5 ^ {3}} = 56\frac{2737}{3375} = 56.81096296296296$$