Question

Why do we multiply the 4 and 6?

(a^4)^6

Answer 1

Multiplication is just FAST ADDITION

3 x 4 = 3 + 3 + 3 + 3 = 12

but it is just easier to multiply

3 x 4 = 12

(a^4)^6 = (a^4) x (a^4) x (a^4) x (a^4) x (a^4) x (a^4)

Now you could add all those 4's but it would be easier to multiply

(a^4)^6 = a^24

Answer 2

ok

Answer 3

law of exponent:
power of a power
(x^m)^n = x^mn (x^2)^3 = x^2×^3 = x^6
\[(a^{4})^{6}\] =
(a*a*a*a)(a*a*a*a)(a*a*a*a)(a*a*a*a)(a*a*a*a)(a*a*a*a)
\[=a ^{24}\]