Simplify the expression (n^4)^8
A. n^48
B. n^32 <------
C. n^12
D. n^4
You are correct it is B.
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To simplify the expression (n^4)^8, you need to apply the exponent rule which states that when raising a power to another power, you need to multiply the exponents.
So, in this case, you need to multiply the exponent 4 by 8.
n^(4*8) = n^32
Therefore, the simplified expression is n^32. Therefore, the correct answer is B. n^32.