Question

answer the question please ​

Answer 1

I think the answer is

a = 8.

Answer 2

ANSWER

a= 8

GIVEN:

$9 {}^{a} \div 9 {}^{3} = 9 {}^{5}$

TO FIND

The value of : a

SOLUTION:

$9 {}^{a} \div 9 {}^{3} = 9 {}^{5} \\ \\ or \: \: (3) {}^{2 \times a} \div (3) {}^{2 \times 3} = (3) {}^{2 \times 5} \\ \\ or \: \: \: (3) {}^{2a} \div (3) {}^{6} = (3) {}^{10} \\ \\ when \: bases \: are \: same \: in \: division \: then \\ power \: is \: subtracted. \\ \\ ex. \: \: a {}^{x} \div a {}^{y} \: \: \: then \: \: a {}^{x - y} \\ \\ by \: using \: this \: formulae \\ \\ \: or \: \: (3) {}^{2a - 6} = (3) {}^{10} \\ \\ or \: 2a - 6 = 10 \\ \\ or \: 2a = 10 + 6 \\ \\ or \: 2a \: = 16 \\ \\ or \: a = 8 \\ \\ \\ answer \\ \\ a = 8$

$............................ \\ \\ some \: important \: formulas \\ \\ when \: bases \: are \: same \: in \: division \: then \\ power \: is \: subtracted. \\ \\ ex. \: \: a {}^{x} \div a {}^{y} \: \: \: then \: \: a {}^{x - y} \\ \\ when \: bases \: are \: same \: in \: multiplication \: then \\ power \: is \: added. \\ \\ ex. \: \: a {}^{x} \ \times a {}^{y} \: \: \: then \: \: a {}^{x + y}$