Question

How do you use the laws of exponents to simplify the expression `b^8(2b)^4`?

Answer 1

One law of the exponents states that `(a^n)^m=a^n*m`

Then,

`b^8(2^1b^1)^4=b^8(2^(1*4)b^(1*4))`

Now, we get `b^8(16b^4)=16*b^8*b^4`.

Another law of exponents states that `a^n*a^m=a^(n+m)`. Thus,

`16*b^(8+4)=16b^12`