Question

7power -2)power p =(7power -8)​

Answer 1

7power -2)power p =(7power -8)​

hence the p value is 3

Step-by-step explanation:

first the given equation can be written as

$7^{-{2}^{p}}=7^{-8}$

as we all know that when the bases are equated then powers can be added and equated

so from the given equation ,we can observe that the bases are equal which is 7

so the powers of the 7 can be equated

therefore,

$-2^{p}=-8$

now cancel the negative symbol as there is negative symbol on the both sides

so the equation can be written as $2^{p}=8$

as we can see base 2 on the left side ,so we have to write the 8 in the power of 2

therefore,

$2^{p}=2^{3}$

now we can see that the bases are same so the powers are equated

hence p=3 is the required answer