Solve [2/3]^3*[9/4]

$$[ \frac { 2 } { 3 } ] ^ { 3 } \times [ \frac { 9 } { 4 } ]$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{8}{27}\times \frac{9}{4}$$

Multiply \frac{8}{27} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{27\times 4}$$

Do the multiplications in the fraction \frac{8\times 9}{27\times 4}.

$$\frac{72}{108}$$

Reduce the fraction \frac{72}{108} to lowest terms by extracting and canceling out 36.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$