Question

Find m so that (2/9)³ × (2/9)-6 = (2/9)²m-¹​

Answer 1

Answer is - m=5

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Answer 2

Step-by-step explanation:

$( \frac{2}{9} ) {}^{3} \times ({ \frac{2}{9} })^{ - 6} = ({ \frac{2}{9} )}^{2m - 1} \\ ( { \frac{2}{9} })^{3 - 6} = ({ \frac{2}{9} )}^{2m - 1} \\ - 3 = 2m - 1 \\ 2m = - 3 + 1 \\ m = \frac{ - 2}{2} \\ m = - 1$