Question 235079
Not sure what you're asking.


The laws of exponents are:


b^x*b^y = b^(x+y)


An example would be 2^3 * 2^6 = 2^(3+6) = 2^9 = 512


b^x/b^y = b^(x-y)


An example would be 2^9 / 2^4 = 2^(9-4) = 2^5 = 32


b^(-x) = 1/b^x


An example would be 2^(-5) = 1/2^5 = 1/32


(b^x)^y = b^(x*y)


An example would be (2^3)^7 = 2^(3*7) = 2^21 = 2097152


You can use your calculator to confirm.


Just do it both ways and see that you get the same answer.


Last that I remember off hand.....


b^(1/n) = root(n,b)


A couple of examples might explains this.


4^(1/2) = sqrt(4) = 2 = square root of 4.


8^(1/3) = root(3,8) = 2 = cube root of 8.


15625^(1/6) = root(6,15625) = 5 = sixth root of 15625.


The formula sqrt(x) looks like {{{sqrt(x)}}} using algebra.com formula generator.


The formula root(n,x) lookslike {{{root(n,x)}}} using algebra.com formula generator.


Write if you have further questions.