Question

simplify
$(3 {}^{5} \times 3 {}^{ - 9 } ) \div 3 {}^{3}$
​

Answer 1

$\huge{ \color{pink}{ \boxed{ \mathtt{SOLUTION}}}}$

$\large{ \: \: (3 {}^{5} \times 3 {}^{ - 9 } ) \div 3 {}^{3}}$

$\large{ = (3 {}^{5 + (-9) } ) \div 3 {}^{3}}$

$\large{ = (3 {}^{5 -9 } ) \div 3 {}^{3}}$

$\large{ = 3 {}^{-4 } \div 3 {}^{3}}$

$\large{ = {3}^{-4 - 3}}$

$\large{ \boxed{ = {3}^{-7}}}$

Formula used:-

$\large{{a}^{m} \times {a}^{n} = {a}^{m + n}}$

$\large{{a}^{m} \div {a}^{n} = {a}^{m - n}}$

Hope this helps :)

Answer 2

Answer:

${3}^{ - 7}$

Step-by-step explanation:

$( {3}^{5}^{ - 9} )$