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
castortr0y [4]
3 years ago
10

Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n

\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}
You might be interested in
PLEASE HELP!!!!! What is the reason for each step in the solution of the equation?
monitta

3 + 4x - 3x = 4      Given

3 + (4x - 3x) = 4

3 + x = 4      Combine like terms

3 - 3 + x = 4 - 3

x = 1       Subtraction Property of Equality

5 0
3 years ago
Read 2 more answers
Kim takes her 7 children to the carnival. If she buys 30 tickets for them, which of the following best describes how many ticket
galben [10]
210 (idk maybe since I think this is multiplication)
7 0
3 years ago
-2x + 3 < 5 Show your work/steps
s2008m [1.1K]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ -2x + 3 < 5

Subtract 3 from both sides:

-2x < 2

Divide both sides by -2 to isolate x:

x = -1

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

5 0
3 years ago
if Mark uses 3 3/4 tablespoons of coffee to make 10 cups of coffee, how much would he need to make one cup of coffee?
vodomira [7]
375/1000. You divide 3 3/4 by 10.
6 0
3 years ago
you want to draw an enlargement of a design that is printed on a card that is 4in by 5in. you will be drawing this design on an
IRINA_888 [86]
The answer is 1-3/5 in. by 10-5/8 in.
4 0
3 years ago
Read 2 more answers
Other questions:
  • 39% of 80 estimate. what's the answer for the question?
    6·1 answer
  • out of 45 times at bat raul got 19 hits find raul's batting average as a decimal rounded to the nearest thousandths
    5·1 answer
  • A bag of peanuts serves about four people. If you want to have enough bags for 23 people, what is the minimum number of bags you
    13·2 answers
  • Aldo buys candy that costs $6 per pound. He will buy at most 9 pounds of candy. What are the possible amounts he will spend on c
    7·1 answer
  • An item that was sellingfor 1,102 is redused to 806 .to the nearest whole what percent decrease
    11·1 answer
  • A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x squared plus b over a tim
    15·2 answers
  • Polygons QRST and Q’R’S’T’ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has ver
    14·1 answer
  • in the 6th grade, 48 students brought a ham and cheese sandwich for lunch. if this number represents 32% of the total of student
    13·1 answer
  • Construct a perpendicular to<br> AB at A and at B (Hint: Extend AB)
    15·1 answer
  • A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!