To find a power of a power, multiply the exponents. This is an extension of the product of powers property. Suppose you have a number raised to a power, and you multiply the whole expression by itself over and over. This is the same as raising the expression to a power:

(5^{3})^{4 }= (5^{3})(5^{3})(5^{3})(5^{3})

But the product of powers property tells us that

(5^{3})(5^{3})(5^{3})(5^{3}) = 5^{3 + 3 + 3 + 3} = 5^{4(3)} = 5^{12}

So it is enough to just multiply the powers!

In general,

(*a ^{b}*)