[tex]\left(-5\right)\cdot \:2^2\left(-5\right)^2\cdot \:2^3 =\left(-5\right)^{1+2}\cdot \:2^2\cdot \:2^3 =\left(-5\right)^3\cdot \:2^2\cdot \:2^3 =-125\cdot \:2^2\cdot \:2^3 =-125\cdot \:2^{2+3} =-125\cdot \:2^5 =-125\cdot \:2^5 =-125\cdot \:32 =-4000[/tex]