Question

What is the value of 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 + 4^5 ?

a. 12 x 2^5
b. 24^5
c. 3 x 2^5
d. 4^60
e. 3 x 4^6

please answer and explain

Answer 1

4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 =

12 * 4 ^ 5 =

3 * 4 * 4 ^ 5 =

3 * 4 ^ 6


Answer e

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Remark:

4 * 4 ^ 5 = 4 ^ 6

becouse:

x ^ a * x ^ b = x ^ ( a + b )

so :

4 * 4 ^ 5 = 4 ^ 1 * 4 ^ 5 = 4 ^ ( 1 + 5 ) = 4 ^ 6
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