Algebrarules.com

The most useful rules of basic algebra,
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Howdy! Here are a few very handy rules of algebra. These basic rules are useful for everything from figuring out your gas mileage to acing your next math test — or even solving equations from the far reaches of theoretical physics. Happy calculating!

Algebra Rule 12

A number raised to a power raised to a power is equal to that number raised to the product of the two exponents

$$(a^n)^m = a^{nm}$$
Description:

Like the previous rule, this one can be demonstrated simply by expanding the exponents out into a series of multiplications

$$(4^2)^3 = (4*4)^3 = (4*4)(4*4)(4*4) = 4*4*4*4*4*4 = 4^6 = 4^{2*3}$$
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