Question

Which applies the power of a power rule properly to simplify the expression (710)5?

Answer 1

The power to a power rule is : KEEP THE BASE AND MULTIPLY THE POWERS.
Ex. (x^3)^4 = x^(3*4) = x^12

So ....
(7^10)^5 = 7^50
Last option is correct.

Answer 2

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

$(7^{10}) ^ 5= 7^{10*5} = 7^{50}$

So (7^10)^5= 7^50