Question

Simplify: 2² × 3³ × 2⁴ × 3⁵ × 3⁶

Answer 1

${2}^{2 + 4} \times {3}^{ 6} \times {3}^{4 + 5} \\ = {2}^{6} \times {3}^{6} \times {3}^{9}$
${6}^{6} \times {3}^{9} = \\ {6}^{6} \times {27}^{3} =$
46656×19683=918330048

Answer 2

306110016

Step-by-step explanation:

In the question

The given expression is $2^{2}\times3^{3}\times2^{4}\times3^{5}\times3^{6}$

= $2^{2\ +\ 4}\times3^{3\ +\ 5}\times3^{6}$

{since we know that, $a^{m}\ +\ a^{n} = a^{m\ +\ n}$}

= $2^{6}\times3^{8}\times3^{6}$

= $2^{6}\times3^{8\ +\ 6}$

= $2^{6}\times3^{14}$

= 64 x 4782969

= 306110016  (Answer)