Question 177336
{{{(2*w)^3 = 2*w*2*w*2*w = 8*w^3}}}
{{{(2*w^2)^2 = 2*w^2*2*w^2 = 4*w^4}}}
{{{8*w^3*4*w^4 = 32*w^7}}}
another way of looking at it is:
{{{(2*w)^3 = 2^3*w^3 = 8*w^3}}}
{{{(2*w^2)^2 = 2^2*(w^2)^2 = 4*w^4}}}
{{{8*w^3*4*w^4 = 32*w^7}}}
you are using basic rules of exponents.
{{{(a*b)^c = a^c * b^c}}}
{{{(a^b)^c = a^(b*c)}}}
{{{a^b*a^c = a^(b+c)}}}
you are also using basic rules of multiplication.
{{{a*b = b*a}}}