Question 210006
Multiply then simplify by factoring:
{{{(sqrt(2^109))*(sqrt(x^306))*(sqrt(x^11))}}} This can be expressed as:
{{{sqrt((2^109)*(x^306)*(x^11))}}} Multiply the x's by adding their exponents.
{{{sqrt((2^109)*(x^317))}}} and this can be written as:
{{{sqrt(2(2^108)*x(x^316))}}}
Now {{{2^108 = (2^54)^2}}} so you can take the square root of {{{sqrt(2^108) = 2^54}}} and move it out from under the radical sign.
Similarly with {{{sqrt(x^316) = x^158}}}, so you get:
{{{2^54*x^158*sqrt(2x)}}}