Question

evaluate (2/3) to the power minus 2 ×(3/2) to the power 3​

Answer 1

Answer:

Step-by-step explanation:

(2/3)^-2×(3/2)^3

(3/2)^2×(3/2)^3

Now the base is same so we add the powers

(3/2)^2+3

(3/2)^5=243/32

Answer 2

Step-by-step explanation:

$(\frac{2}{3} )^{ - 2} \times ( \frac{3}{2} )^{3}$

$( \frac{a}{b} )^{ - m } = ( \frac{b}{a} )^{m}$

$( \frac{2}{3} )^{ - 2} =( \frac{3}{2})^{2}$

$( \frac{a}{b} )^{m} = \frac{ {a}^{m} }{ {b}^{m} }$

$( \frac{3}{2} ) ^{2} \times ( \frac{3}{2} )^{3}$

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

$\frac{9}{4} \times \frac{27}{8}$

$\frac{243}{32}$