Question

Find the values of x, ​

Answer 1

ANSWER

(⅘)²×(⅘)⁷= (⅘)⁹

Answer 2

$( \frac{4}{5} ) { }^{2} \times ( \frac{4}{5} ) { }^{7} = ( \frac{4}{5} ) { }^{x} \\ let \: \frac{4}{5} { }^{} = y \\ {y}^{2} \times y {}^{7} = y {}^{x} \\ \\ we \: know \: that : - \\ (a {}^{m} \times {a}^{n} = (a) {}^{m + n} \\ therefore : - \\ {y}^{2} \times y {}^{7} = y {}^{x} \\ (y) {}^{2 + 7} = y { }^{x} \\ y {}^{9} = y { }^{x} \\ we \: know \: that : - \\ if \: .. {a}^{m} = {a}^{n} \: then .. m = n \\ 9 = x \\ x = 9$