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ikadub [295]
2 years ago
12

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

Mathematics
2 answers:
Sphinxa [80]2 years ago
5 0

⚘<em>R</em><em>e</em><em>f</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>m</em><em>e</em><em>n</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>b</em><em>e</em><em>l</em><em>o</em><em>w</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>t</em><em>e</em><em>p</em><em>s</em><em>!</em><em>!</em>

\purple{ \rule{300pt}{3pt}}

  • 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!!~

MAVERICK [17]2 years ago
4 0
<h2><u>Given:</u></h2>

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

\rule{80mm}{1pt}

<h3><u>What </u><u>are </u><u>asked </u><u>to </u><u>do?</u></h3>

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

\rule{80mm}{1pt}

<h2><u>Solution</u><u>:</u></h2>

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

\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}}}}

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

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

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

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

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

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

Take 3² as common.

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

Solve the powers.

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

Again take 27 as common.

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

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Marrrta [24]

Part (a)

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The circumference, aka distance around the circle, is

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<h3>Answer:  150 degrees</h3>

==============================================================

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==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

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