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
Lina20 [59]
3 years ago
6

(x^2y^3) = (xy^a)^b

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

C. \frac{3}{2}

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

( {x}^{2}  {y}^{3} )^{3}  = ( {x}  {y}^{a} )^{b}

Recall and apply the following rule of exponents.

( {x}^{m}  )^{n}  = {x}^{mn}

We apply this rule on both sides to get:

{x}^{2 \times 3}  {y}^{3 \times 3} =   {x}^{b}  {y}^{ab}

Simplify the exponents on the left.

{x}^{6}  {y}^{9} =   {x}^{b}  {y}^{ab}

Comparing exponents of the same variables on both sides,

b = 6 \: and \:\: ab = 9

\implies \: 6b = 9

Divide both sides by 6.

b =  \frac{9}{6}

b =  \frac{3}{2}

You might be interested in
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of
AfilCa [17]

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

5 0
3 years ago
Read 2 more answers
Answer and solution in 2xy-5yz-4x+10z
xxTIMURxx [149]

Answer:

2xy+10z-5yz-4x

Step-by-step explanation:

Just put the positives and negatives together. You can't add or subtract any of them because they aren't like terms.

5 0
3 years ago
I Forgot All About Area and Perimeter Can Anybody Help Please?
Zinaida [17]
So you would multiply the length times width!
7 0
3 years ago
Read 2 more answers
The Smith family made a 12-pound turkey for dinner. If each person will eat of a pound, how many
postnew [5]
It will take 12 people to finish the turkey
3 0
3 years ago
Read 2 more answers
Need help quick!! <br> WILL GIVE BRAINLIEST
Murljashka [212]

Answer:

3 and 4 x=25, y=29

Step-by-step explanation:

If you need a step by step explanation, I will edit this later.

5 0
3 years ago
Other questions:
  • A collection of 35 DVD movies he received eight of them has given as a gift ​
    14·1 answer
  • A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
    8·1 answer
  • Please help! Will give brainliest to correct answer! (1/3) - 50 POINTS - please no wrong answers.
    5·2 answers
  • 2/3w = 3/4 what’s the equation?
    13·2 answers
  • PLEASE HELP THIS IS TIMED
    5·1 answer
  • Dude I don’t even know anymore
    13·1 answer
  • A loss of 10 pounds, can u help me please ​
    11·1 answer
  • Giải hệ phương trình
    13·2 answers
  • Which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9
    6·1 answer
  • 2.2.3 Quiz: Angle Theorems
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!