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
antiseptic1488 [7]
2 years ago
13

Rewrite the expression as a single power with a negative exponent

Mathematics
1 answer:
goblinko [34]2 years ago
8 0

~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \left(\cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3} \right)^2\implies \left[ \left( \cfrac{1}{3} \right)^4 \right]^2\implies \left( \cfrac{1^4}{3^4} \right)^2 \\\\\\ \left( \cfrac{1^{4\cdot 2}}{3^{4\cdot 2}} \right) \implies \cfrac{1}{3^8} \implies 3^{-8}

let's recall that  

\begin{array}{llll} 1^1&=&1\\ 1^{10}&=&1\\ 1^{1,000}&=&1\\ 1^{1,000,000,000}&=&1\\ 1^{1,000,000,000,000}&=&1\\ \end{array}

You might be interested in
Wht is the answer for 2/3+2/9
garik1379 [7]
2/3 = 6/9 So,

6/9 + 2/9 = 8/9

4 0
3 years ago
Read 2 more answers
Math question help answering please
gavmur [86]
The answer is 290. First calculate the area of the rectangle part on the bottom. area=20*9=180 square yards. Then calculate the area of the triangle on the top. Base length is 20, while the height is 20-9=11, so the area is 20*11/2=110. 180+110=290 square yards in total.
7 0
3 years ago
Read 2 more answers
Why is the solution of 3x + 5 = 2x - 7
Vanyuwa [196]

Answer:

Use pemdas

Step-by-step explanation:

Paranthese, e, multiplacation, division, addition, subtraction

7 0
3 years ago
Read 2 more answers
Thirty children from an after-school club went to the matinee. This is 20% of the children in the club. How many children are in
Setler [38]

Answer:

<h2>C)150 </h2>

Step-by-step explanation:

20%=30

x by 5 to get 100%

100%=150

8 0
2 years ago
Read 2 more answers
Triangle XY Z is similar to triangle ABC.
garri49 [273]

Answer:

13.5

Step-by-step explanation:

12/4=3

9/3=3

4.5x3=13.5

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which setof numbers could all be reasonably rounded to. 33,100​
    6·2 answers
  • Let h(x) = 3x – 7. If h(x) = 0, find x.
    15·2 answers
  • $250 is invested at a bank that pays 7% simple interest. calculate the amount of money in the account after 1 year, 3 years, 7 y
    10·1 answer
  • Round the following decimal to the nearest tenth.<br><br>543.67 ◯543.6 ◯543.68 ◯543.7 ◯543.670 ◯544​
    14·2 answers
  • Match each part of the expression with what it represents
    15·1 answer
  • Napolean went on a bus trip, traveling at a speed of 55 miles per hour for 4 hours. Which equation will help you find the distan
    5·2 answers
  • Please no files or links and your works
    5·1 answer
  • I think of a number multiply it by 3 and add 6 the result is 21 what is the number
    15·1 answer
  • Which step is incorrect? Look at picture
    13·2 answers
  • If ⅔ part of a land cost Rs 45000 find the cost of ⅘ part of land​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!