Question

What is 1 2/3 to the 3rd power

Answer 1

Answer:

$2\frac{7}{9}$

Step-by-step explanation:

In order to get the answer to this question you must change the mixed number into a improper fraction then multiply the improper fraction as many times as it's exponent.

$1\frac{2}{3} ^3$

Turn the mixed number into a improper fraction:

$1\frac{2}{3} =\frac{5}{3}$

$=\frac{5}{3}^3$

$\frac{5}{3} ^3=\frac{5}{3} \times\frac{5}{3} \times\frac{5}{3}$

Now multiply:

$\frac{5}{3} \times\frac{5}{3} =\frac{25}{9}$

$\frac{25}{9} \times\frac{5}{3} =\frac{75}{27}$

Turn the improper fraction into a mixed number:

$\frac{75}{27} =2\frac{7}{9}$

$=2\frac{7}{9}$

Hope this helps.