Question

find the value of
2/3to the power of 2+2/9 to the power of 2
​

Answer 1

Step-by-step explanation:

2+2/9 = 20/9

${ \frac{2}{3} }^{ \frac{20}{9} \times 2)}$

${ \frac{2}{3} }^{ \frac{40}{9} }$

$\frac{ {2}^{ \frac{40}{9} } }{ {3}^{ \frac{40}{9} } }$

$\frac{ {2}^{40} }{ {2}^{9} } \times \frac{ {3}^{9} }{ {3}^{40} }$

$\frac{ {2}^{31} }{ {3}^{31} }$