Question 253615
Is the problem {{{4^(sqrt(2))*4^(2*sqrt(2))^""}}} ??? If so, then...



{{{4^(sqrt(2))*4^(2*sqrt(2))^""}}} Start with the given expression.



{{{4^(sqrt(2)+2*sqrt(2))^""}}} Use the identity {{{a^b*a^c=a^(b+c)}}}



{{{4^(sqrt(2)(1+2))^""}}} Factor out the GCF in the exponent.



{{{4^(sqrt(2)*(3))^""}}} Combine like terms.



{{{4^(3*sqrt(2))^""}}} Rearrange the terms.



So {{{4^(sqrt(2))*4^(2*sqrt(2))=4^(3*sqrt(2))^""}}}