Question

cat face
${2}^{4} \times {4}^{4} \times 125 \times {25}^{3}$

Answer 1

$\it 2^4\cdot4^4\cdot125\cdot25^3=2^4\cdot4^4\cdot5^3\cdot25^3=(2\cdot4)^4\cdot(5\cdot25)^3=8^4\cdot125^3=\\ \\=8\cdot8^3\cdot125^3=8\cdot(8\cdot125)^3 = 8\cdot1000^3 = 2^3\cdot100^3=(2\cdot1000)^3=\\ \\2000^3=8\ 000\ 000\ 000$