Question

by what number should (2/3) power -2 be multiplied do that product is (4/27)power -1​

Answer 1

Step-by-step explanation:

${ \frac{2}{3} }^{ - 2} x = { \frac{4}{24} }^{ - 1}$

${ { \frac{2}{3} }^{2} }^{ (- 1)} x = \frac{24}{4}$

${ \frac{4}{9} }^{ - 1} x = \frac{24}{4}$

$\frac{9}{4} x = \frac{24}{4}$

$9x = 24$

$x = \frac{24}{9}$

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