Question

$(1 \ \frac{7}{9} ) { }^{ - \frac{3}{2} }$
work it out
with the steps
if your good at maths ​

Answer 1

Answer:

$2.370$

Step-by-step explanation:

$(1 \frac{7}{9} ) ^{ \frac{3}{2} } \\ ( \frac{16}{9} ) ^{ \frac{3}{2} } \\ ( \frac{ {2}^{4} }{ {3}^{2} } ) ^{ \frac{3}{2} } \\ {2}^{4 \times \frac{3}{2} } \div {3}^{2 \times \frac{3}{2} } \\ {2}^{6} \div {3}^{3} \\ \frac{64}{27} \\ 2.370$

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer 2

Answer:

$2.37037$

Step-by-step explanation:

$\left(1\cfrac{7}{9}\right)^{\cfrac{3}{2}}$

Multiply 1 and 9 = 9

$\left(\cfrac{9+7}{9}\right)^{\cfrac{3}{2}}$

Add 9 and 7 = 16

$\left(\cfrac{16}{9}\right)^{\cfrac{3}{2}}$

Now, Calculate 16/0 to the power of 3/2 =

$\cfrac{64}{27}$

Factor:

$\cfrac{2^6}{3^3}$ $=2\cfrac{10}{27}$

$\approx 2.37037$

_______________________