Question

express 100×192 as a product of prime factor only in exponential form​

Answer 1

$\large \blue{\underline{\sf{answer : }}}$

$\sf{100 \times 192} \\ \\ \sf{ = (2 \times 2 \times 5 \times 5) \times (2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3)} \\ \\ \sf{(2 {}^{2} \times 5 {}^{2} ) \times (2 {}^{6} \times 3 {}^{1} )} \\ \\ \sf{ = (2 {}^{2 + 6} ) \times (3 {}^{1} ) \times (5 {}^{2}) } \\ \\ \sf{ = \underline{ 2 {}^{8} \times 3 {}^{1} \times 5 {}^{2} }}$