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
Romashka [77]
3 years ago
6

If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.​

Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

You might be interested in
Planes A and B intersect. Vertical plane B intersects horizontal plane A. Point W is on the line where the planes intersect. Ver
trasher [3.6K]

Answer:

Step-by-step explanation:

i need help 2

5 0
3 years ago
Read 2 more answers
A<br> 32°<br> B.<br> #<br> С<br> m2C = [?]
Dafna1 [17]

Answer:

33

Step-by-step explanation:

4 0
3 years ago
Amy's yearly salary is given by the equation y = 25,000 + 700x, where x is the number of years since 2007 and y is her salary in
marissa [1.9K]

Answer:

Amy's yearly salary in 2011 was $27,800

Step-by-step explanation:

we have

y=25,000+700x

where

x ---> is the number of years since 2007

y ---> Amy's yearly salary in dollars

To find out what was her salary in 2011, first determine the value of x

x=2011-2007=4\ years

substitute the value of x in the equation above

y=25,000+700(4)

y=\$27,800

therefore

Amy's yearly salary in 2011 was $27,800

3 0
3 years ago
Jeremy built an office with a floor area of 55/14 square feet. The office is rectangular in shape. If the length of the room is
Alexxandr [17]

Answer:

110/289 feet

Step-by-step explanation:

Step one:

given data

Area of the floor= 55/14 square feet.

The length of the floor= 8 1/2 feet-----convert to simple fraction= 17/2 feet

Step two:

The expression for the area of the room is

Area= L*W

55/14= 17/2*W

55/14=17W/2

cross multiply

17W*14=55*2

289W=110

divide both sides by 289

W= 110/289 feet

6 0
3 years ago
70.59 rounded to the nearest whole
SCORPION-xisa [38]
When you i round,decimals more than .50 will round up. So, this is 71 rounded.
3 0
3 years ago
Read 2 more answers
Other questions:
  • a bicycle manufacturer needs 4 brake pads for each bicycle there 173 brake pads in stock how many bicycles can be made
    11·1 answer
  • Find the least number which must be added to 12864 to make it a perfect square​
    8·1 answer
  • Find the value of x in the diagram below
    11·1 answer
  • A circular pool is surrounded by a circular walkway. The radius of the pool is y − 4 and the radius of the full circle formed by
    9·1 answer
  • Which of the following should be considered in buying a computer?
    14·2 answers
  • Find the solution mentally.<br> d. 24 = -12
    10·1 answer
  • Please guys help me with this question.​
    15·1 answer
  • What is the measure of each angle of an equilateral triangle?
    14·2 answers
  • Yooo please help, im on question 60.. i wanna die lol
    5·1 answer
  • Which expression is equivalent to 4 (9 + 7)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!