Respuesta :
Answer:
(7^10)^5= 7^50
Step-by-step explanation:
Givene expression is
(7^10)^5
we apply power of power rule
(a^m)^n = (a)^mn
As per this property we multiply the outside exponent with the exponent inside. multiply the exponent 10 and 5 that gives us 50
[tex](7^{10}) ^ 5= 7^{10*5} = 7^{50}[/tex]
So (7^10)^5= 7^50
In this exercise we are dealing with potencies, so the correct alternative is:
Letter D
What is potencies ?
The potencies is the result of a number multiplied by itself one or more times.
Givene expression is:
[tex](7^{10})^5[/tex]
So recognizing that its default form is:
[tex](a^m)^n = (a)^{m*n[/tex]
We can see that it is equal to:
[tex](7^{10})5= 7^{10* 5} = 7^{50}[/tex]
See more about potencies at brainly.com/question/6438256