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
AURORKA [14]
3 years ago
15

Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2

Mathematics
2 answers:
Yuri [45]3 years ago
5 0

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1  

Rewriting 9^2 as 3^2^2 = 3^4  and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2   and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

sashaice [31]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{8^{-1}*3^{3}}{2^{-4}*9^{-2}}=\frac{(2^{3})^{-1} * 3^{3}}{2^{-4}*(3^{2})^{-2}}\\\\=\frac{2^{3*-1}*3^{3}}{2^{-4}*3^{2*-2}}\\\\=\frac{2^{-3}*3^{3}}{2^{-4}*3^{-4}}\\\\=2^{-3+4}*3^{3+4}\\\\=2^{1}*3^{7}\\\\=2*3^{7}

You might be interested in
Quadrilateral ABCD has the following vertices:
GenaCL600 [577]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

  A +C = B +D

  (0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

6 0
3 years ago
Read 2 more answers
Translate the Verbal phrase into a Math Expression: Four more than twice a number
alukav5142 [94]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

3 0
3 years ago
HELP!!! I NEED THIS DONE ASAP!
GarryVolchara [31]
20 and 7 Because 4x5 = 20
6 0
3 years ago
Read 2 more answers
Jaden sells a painting for 10 times the original price he sells a painting for $45.50 what was the original price of this painti
Ymorist [56]
x-\ original\ price\\\\&#10;10x=45,50\ \ \ \ | divide\ by\ 10\\\\&#10;x=4,550\$\\\\&#10;Original\ price\ is\ 4,550\$.
6 0
3 years ago
Read 2 more answers
What is the 2 out of 4
Vlad [161]
It is 2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Part C plz. Help with area!
    14·1 answer
  • A moving company charges $40 plus $0.10 per mile to rent a moving van. Another company charges $10 plus $0.25 per mile to rent t
    11·1 answer
  • I don't understand how to answer this​
    10·1 answer
  • If 27^x=9/3^x ,then the value of x is
    7·1 answer
  • Someone please help me with this
    9·1 answer
  • There are 4 chocolate chip cookies and 12 oatmeal cookies in a jar. If you reach in and randomly choose 2 cookies without replac
    8·1 answer
  • If the graph of the function moves to the right two units what is the new vertex of the function
    15·1 answer
  • Product of a number x and 236
    10·1 answer
  • Which expression is equivalent to…
    9·1 answer
  • I really need help on this question. Im stuck any help?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!