Question

what is the answer of this..
math question
​

Answer 1

Answer:

(3²×4-³)(3²×4³) = 81 {=Answer.

Step-by-step explanation:

$(3 {}^{2} \times 4 {}^{ - 3} )(3 {}^{2} \times 4 {}^{3)} \\ = > (3 {}^{2} \times 3 {}^{2} )(4 {}^{ - 3} \times 4 {}^{3} ) \\ = > (3 {}^{2 + 2} )(4 {}^{ - 3 +3} ) \\ = > (3 {}^{4} )(4 {}^{0} ) \\ = > (81) \times 1\\ = > 81< - answer.$

$rule - \\ a ^ b \times a ^ c = a^{ (b + c)} \\ a^ c \times b^ c =(a* b)^ c</p><p>$

If my answer is right .

Please

Mark me as brainliest.

Answer 2

Answer:

→ 81

Step-by-step explanation:

Question :

$\sf \implies( {3}^{2} \times {4}^{ -3 } )( {3}^{2} \times {4}^{3} )$

Solution :

$\sf \implies( {3}^{2} \times {4}^{ -3 } )( {3}^{2} \times {4}^{3} )$

This can be written as :

$\sf \implies{3}^{2} \times {4}^{ -3 } \times {3}^{2} \times {4}^{3}$

$\sf \implies{3}^{2} \times {3}^{2} \times {4}^{ -3 } \times {4}^{3}$

~We know that,

$\longrightarrow \bf {a}^{m} \times {a}^{n} = {a}^{m + n}$

~Using this we get,

$\sf \implies {3}^{2 \: + \: 2} \times {4}^{ - 3 \: + \: 3}$

$\sf \implies {3}^{4} \times {4}^{ 0}$

~We know that,

$\bf \longrightarrow {a}^{0} = 1$

~Using this we get,

$\sf \implies {3}^{4} \times 1$

$\implies \sf {3}^{4}$

$\implies \sf3 \times 3 \times 3 \times 3$

$\implies \sf 9 \times 3 \times 3$

$\implies \sf27 \times 3$

$\pink{ \implies \underline{ \boxed{ \bf 81}} \: \bigstar}$

Hence :

$\sf \implies( {3}^{2} \times {4}^{ -3 } )( {3}^{2} \times {4}^{3} ) = \bf \boxed{ \bf\red{81}}$