Question

if 5^p-8=1 then p is​

Answer 1

Step-by-step explanation:

${5}^{p - 8} = 1 \\ \\ {5}^{p - 8} = {5}^{0} \\ \\ p - 8 = 0 \\ \\ p = 8$

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Answer 2

Given,

• $5^{p-8} = 1$ is given.

To find,

• We have to find the value of p.

Solution,

We can simply find the value of p by using the laws of exponents.

It is given that $5^{p-8} = 1$ we have to find the value of p.

Now, observe the RHS of the given equation, we can write it as $5^0$.

As we know,

                 $a^0 = 1$   (*)

                  $5^{p-8} = 1$

Now, using (*), we get

                  $5^{p-8} = 5^0$

As we know, the same bases have the same powers, then equating the powers of the same base, we get

                   $p-8 = 0$

Now, transposing -8 from LHS to RHS, we get

                         p = 8

Hence, if $5^{p-8} = 1$ then the value of p is 8.