anubhav99
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

KINDLY SOLVE IT WITH EXPLANATION!!
DONT STEAL POINTS ^-^​

KINDLY SOLVE IT WITH EXPLANATIONDONT STEAL POINTS class=

Sagot :

⚘Refer to the attachment for solution and below for steps!!

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

  • Write the number in exponential form with the base of 3
  • Simplify the expression by multiplying exponents
  • Evaluate the power
  • Calculate the product
  • Use the commutative property to reorder the terms
  • Evaluate the power
  • And, We are done solving!!~
View image Аноним

Given:

[tex]\sf{\dots\implies{\dfrac{{9}^{n} \times {3}^{2} \times({{3}^{\frac{- n}{2} })}^{- 2} -27^2}{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\rule{80mm}{1pt}[/tex]

What are asked to do?

We need to simply [tex]\sf{\frac{{9}^{n} \times {3}^{2} \times({{3}^{\frac{- n}{2} })}^{- 2} -27^2}{ {3}^{3m}\times{2}^{3}}}[/tex].

[tex]\rule{80mm}{1pt}[/tex]

Solution:

[tex]\sf{\dots\implies{\dfrac{{9}^{n} \times {3}^{2} \times({{3}^{\frac{- n}{2} })}^{- 2} -(27)^2}{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\sf{\dots\implies{\dfrac{{3}^{2n} \times {3}^{2} \times({{3}^{\frac{ \cancel{- }n}{ \cancel2} })}^{ \cancel{- 2}} -(3^{3} )^{2} }{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\sf{\dots\implies{\dfrac{{3}^{2n} \times {3}^{2} \times({{3)}^{n}} -(3 )^{6} }{ {3}^{3m}\times{2}^{3}}}}[/tex]

Since the base (3) is same so just add the exponents of multiple one.

[tex]\sf{\dots\implies{\dfrac{{3}^{(2n + 2 + n)}-(3 )^{6} }{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\sf{\dots\implies{\dfrac{{3}^{(3n + 2)}-(3 )^{6} }{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\sf{\dots\implies{\dfrac{{3}^{(3n + 2)}-(27 )^{2} }{ {3}^{3m}\times{2}^{3}}}}[/tex]

[tex]\sf{\dots\implies{\dfrac{{3}^{(3n + 2)}-( {3}^{2} \times {9}^{2} )}{ {3}^{3m}\times{2}^{3}}}}[/tex]

Take 3² as common.

[tex]\sf{\dots\implies{\dfrac{ {3}^{2}(({3)}^{3n}-9^{2})}{ {3}^{3m} \times 8}}}[/tex]

Solve the powers.

[tex]\sf{\dots\implies{\dfrac{ 9({27}^{n}-81)}{ {27}^{m} \times 8}}}[/tex]

Again take 27 as common.

[tex]\sf{\dots\implies{\dfrac{ 9 \times 27({1}^{n}-3)}{ {27}^{m} \times 8}}}[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.