Respuesta :

Answer:

Third option : 9^10 / 9^2

Step-by-step explanation:

9^2 . 9^6

Formula / Identity : -

a^m . a^n = a^( m + n )

Here,

a = 9

m = 2

n = 6

9^2 . 9^6

= 9^( 2 + 6 )

=9^8

9^10 / 9^2

Formula / Identity : -

a^m / a^n = a^( m - n )

Here,

a = 9

m = 10

n = 2

9^10 / 9^2

= 9^( 10 - 2 )

= 9^8

Therefore,

9^10 / 9^2 is equivalent to 9^2 . 9^6.
C because you need to subtract the powers in order to get the answer because when you have the same number but different power the power will stay the same the only thing that changes is the power your either adding or subtracting in this case your subtracting nine to the tenth power by 2 which is nine to the eighth power

Otras preguntas