Question

(-1 2/3) to the third power

Answer 1

Answer:

$-4\dfrac{17}{27}$

Step-by-step explanation:

We are asked to calculate the value of $-1\dfrac{2}{3}$ to the third power.

Now, $(-1\dfrac{2}{3})^{3}$  

= $(-\dfrac{5}{3} )^{3}$

= $(-\dfrac{5}{3} ) \times (-\dfrac{5}{3} )\times (-\dfrac{5}{3} )$ { Since we know, a³ = a × a × a }

= $-\dfrac{5^{3} }{3^{3} }$ { Since the product of three negative numbers is also negative }

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

= $-4\dfrac{17}{27}$ ( Answer )