Exponents and powers question
need , answer with explanation.

  a = -1

Step-by-step explanation:

The sign of a number raised to an even power is irrelevant. That means we can rewrite (-25)² as (-5)⁴. Doing so lets us combine the factors like so ...

Here, we used the rule of exponents ...

  (a^b)(a^c) = a^(b+c)

_____

The business of "equating exponents" is equivalent to taking logarithms. In general, the logarithm of a number to a negative base is not defined. However, for the case of integer exponents we have here, there is no problem with doing what we did.

_____

Check of the answer

(-5)^1 × (-25)^2 = (-5)^5

-5 × 625 = -3125 . . . . true

the correct answer is 5

if im undersanding the question correctly, its organized from 10

step-by-step explanation: