Question

3power4into 2power8into 3 power9 into 3 power4into 2power7​

Answer 1

${3}^{4} \times {2}^{8} \times {3}^{9} \times {3}^{4} \times {2}^{7}$

$= {3}^{(4 + 9 + 4)} \times {2}^{(8 + 7)}$

$= {3}^{17} \times {2}^{15}$

$= 129140163 \times 32768$

$= 4231664861184$

Answer 2

Answer:

$= {3}^{4} \times {2}^{8} \times {3}^{9} \times {3}^{4} \times {2}^{7} \\ since \: all \: base \: is \: same \: and \: by \: using \: the \: law \: of \: indices \\ a {}^{m} \times {a}^{n} = {a}^{m + n} \\ = {3}^{4 + 9 + 4} \times {2}^{8 + 7} \\ = 3 {}^{17} \times {2}^{15} \\ = 129140163 \times 32768 \\ = 4231664861184$