1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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}}}

You might be interested in
How do you subtract 7.6 from 20.39
larisa [96]
20.39 -7.6 = 12.79
8 0
3 years ago
Read 2 more answers
The bill for dinner was $34. You left $50 to pay for the meal and tip the server. What percent of the meal did you leave as a ti
9966 [12]

Answer:

16

Step-by-step explanation:

50 - 34 = 16

6 0
3 years ago
Solve for X. Please solve all four. First person to do so will get brainliest.
natali 33 [55]

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which is equal to 8^-10/8^5 ?
makkiz [27]
8^{-10} can be converted into \frac{1}{ 8^{10} } , and applying this to 8^{-5} can see that

\frac{ \frac{1}{ 8^{10} } }{ \frac{1}{ 8^{5} } }

This gives us 

\frac{ 8^{5} }{ 8^{10} }  =  \frac{1}{ 8^{5} } = 8^{-5}
8 0
3 years ago
The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the i
melisa1 [442]

The <em><u>correct answer</u></em> is:

$43.20

Explanation:

The formula we have is

c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal.  This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).

Since our tax rate is 8%, r = 8% = 8/100 = 0.08.  The price of the item is $40.  Using this information, we have:

c = 40(1.08) = $43.20

3 0
3 years ago
Read 2 more answers
Other questions:
  • There are 26 baseball teams in the league. Each team has 18 players. Write a number sentence that will provide a reasonable esti
    8·2 answers
  • Mental math for 8×25×23
    7·2 answers
  • For the most recent year available, the mean annual cost to attend a private university in the United States was $26,889. Assume
    5·1 answer
  • Abcd is a parallelogram find ab and bx.
    12·1 answer
  • What measures spread?
    10·2 answers
  • Consider the following hypothesis test:H 0: = 17H a: 17A sample of 40 provided a sample mean of 14.12. The population standard d
    13·1 answer
  • SELECILIU DUBITULUI
    6·1 answer
  • F(x)=3x+6<br><br> Evaluate for f(4)<br><br><br> Need Answers ASAP
    12·2 answers
  • Water is poured into container A so that it’s 2/3 full.
    12·1 answer
  • Can someone help me with this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!