Question

Find the product. Write fractions in simplest form

${\left(-1\frac{2}{2}\right)}^3$

Answer 1

Find the product:

${\left(-1\frac{2}{3}\right)}^3$$={\left(-\frac{5}{3}\right)}^3$

$=\left\{\left(-\frac{5}{3}\right)\times \left(-\frac{5}{3}\right)\right\}\times \left(-\frac{5}{3}\right)$

(Product of two numbers with the same sign is positive)

$=+\frac{25}{9}\times \left(-\frac{5}{3}\right)$

(Product of two numbers with different signs is negative.)

$=-\frac{125}{27}$

Hence, the final answer is $-\frac{125}{27}$.