SOLUTION: Use the laws of exponents to simplify (10 ^ 3/8)^ 2/7

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Question 352389: Use the laws of exponents to simplify

(10 ^ 3/8)^ 2/7

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%2810%5E%283%2F8%29%29%5E%282%2F7%29
The rule for exponents that applies here is:
%28a%5Ep%29%5Eq+=+a%5E%28%28p%2Aq%29%29
So we will be multiplying the exponents:
10%5E%28%283%2F8%29%2A%282%2F7%29%29
which simplifies as follows:
10%5E%286%2F56%29
10%5E%283%2F28%29