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
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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