Question

plz solve solve i am desperate for answer......................

Answer 1

Answer:

Answer for [i] is 6 and [ii] is 1

Step-by-step explanation:

[i] We can write 25 as $5^{2}$

So now, $5^{2}$ x $5^{a}$ = $5^{8}$

According to laws of exponent when we will multiply 2 no. with same base but different power then the powers will be added

For eg: $3^{2}$ x $3^{5}$ = $3^{7}$

So here if we apply this law then

$5^{2}$ x $5^{a}$ = $5^{8}$

$5^{2+a}$ = $5^{8}$

Now as the bases are same we will only consider powers

2 + a = 8

a = 6

[ii] We can write 1296 as $6^{4}$

So now, $6^{a}$ x $6^{3a}$ = $6^{4}$

Bases are same so the powers will add

$6^{4a}$ = $6^{4}$

We will now consider only powers as bases are same

4a = 4

a = 1

Hope it's helpful