My question is 'write (√2) / 8 in the form 2^n by using the laws of indices' and i need to know how to solve it, the answer is 'n = -5/2' but i don't know how?
√2 = 2^(1/2)
8 = 2^3
To divide, subtract the indices as follows:
2^(1/2) / 2^3 = 2^(1/2 - 3)
= 2^(-5/2)
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Verified answer
√2 = 2^(1/2)
8 = 2^3
To divide, subtract the indices as follows:
2^(1/2) / 2^3 = 2^(1/2 - 3)
= 2^(-5/2)