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The following index laws are true for all positive bases a and b and all integer indices m and n.
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To multiply numbers with the same base, keep the base and add the indices.
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or
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To divide numbers with the same base, keep the base and subtract the indices.
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When raising a power to a power, keep the base and multiply the indices.
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The power of a prodcut is the product of the power.
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The power of a quotient is the quotient of the power.
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or
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In particular 
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Any non-zero number rasied to the power of zero is 1.
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A number raised to the power of 1 over
n
is the
nth
root of this number.
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A number raised to the power of
m
over
n
is the
nth
root of the number raised to the power of
m
.
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Grade 10 / 1.0: Index laws