Math, asked by riyav4604, 2 days ago

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Answered by sayantan735
0

Answer:

33》(–2a² – 7b² – c² – 11d + 6)

34》3⁶³

Step-by-step explanation:

33》

Let quantity "x" is to be subtracted

So, as per the question —

(3a² + 4b² + c² + 6d – 7) – x = (a² + 2c² – 3b² – 1 – 5d)

or,

x = (a² + 2c² – 3b² – 1 – 5d) – (3a² + 4b² + c² + 6d – 7)

or,

x = (a² + 2c² – 3b² – 1 – 5d – 3a² – 4b² – c² – 6d + 7)

or,

x = (–2a² – 7b² – c² – 11d + 6)

It can also be written as (taking minus common) —

x = – (2a² + 7b² + c² + 11d – 6)

So, value to be subtracted = (–2a² – 7b² – c² – 11d + 6)

34》

 \frac{ { ({3}^{7}) }^{8}  \times  { ({9}^{2} )}^{4} }{ {27}^{3} }  =  \frac{ {3}^{56} \times  {9}^{8}  }{ {27}^{3} }

Converting all bases to 3 —

 \frac{ {3}^{56}  \times  { ({3}^{2}) }^{8} }{ { ({3}^{3}) }^{3} }  =   \frac{ {3}^{56} \times  {3}^{16}  }{ {3}^{9} }

When multiplied, the powers add —

 \frac{ {3}^{(56 + 16)} }{ {3}^{9} }  =  \frac{ {3}^{72} }{ {3}^{9} }

When divided, the powers subtract —

 {3}^{(72 - 9)}  =  {3}^{63} \:  \:  (ans)

Hope this helps you :)

Answered by manavrout894
0

Answer: 2a^{2}+7b^{2}-c^{2}+11d-6

Step-by-step explanation:

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