anubhav99
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A 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. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.