Question

6. Find the value of x so that-
(3/4)^-9 × (3/4)^-7 = (3/4)^x​

Answer 1

Step-by-step explanation:

$( \frac{3}{4} )^{ - 9} \times ( \frac{3}{4} ) ^{ - 7} = ( \frac{3}{4} ) ^{x} \\ \\ ( \frac{3}{4} ) ^{ - 9 + ( - 7)} = ( \frac{3}{4} ) ^{x} \\ \\ ( \frac{3}{4} ) ^{ - 16} = ( \frac{3}{4} ) ^{x} \\ \\ so \: \: \: the \: \: \: value \: \: \: of \: \: \: \\ x = - 16$