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Question
State the power law of exponents.
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Solution
The "power rule" tell us that to raise a power to a power, just multiply the exponents.
If a is any real number and m, n are positive integers, then `(a^m)^n = a^(mn)`
We have,
`(a^m)^n = a^m xx a^m xx a^m xx ....n ` factors
`(a^m)^n = (a xx a xx a xx... m ) xx (a xx a xx a xx... m ).... n `factors
`(a^m)^n =(a xx a xx a xx... m )`
Hence, `(a^m)^n = a^(mn)`
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