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
olya-2409 [2.1K]
2 years ago
10

A³b² a²b simplify the following expression

Mathematics
1 answer:
liberstina [14]2 years ago
7 0

Answer:

a^{5}b^{3}

Step-by-step explanation:

The law of indices can be used to simplify mathematical expressions involving  arithmetical operation on variables with powers.

a^{m} x a^{n} = a^{(m+n)}

Thus, the given expression can be simplified as follows:

a³b² a²b  = a³ x a² x b² x b^{1}

               = a^{3+2} x b^{2+1}

               = a^{5}b^{3}

Thus,

a³b² a²b  = a^{5}b^{3}

You might be interested in
An object is launched at 29.4 meters per
Lerok [7]

Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]  

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)

∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

4 0
3 years ago
How do you find the tax on a purchase and calculate the final bill? Give an example, then write and solve a number sentence to i
Lerok [7]
If you are buying something that cost $15 and sale tax is 6%, you can calculate final bill trough proportions:
$15:100%=$x:106%
100x=106*15, x=(106*15)/100, x=$15.9  is final bill.

You can also use easier way: $15+0.06*$15=$15.9
Explanation for 2nd way: Cost is $15, on that you need to add 6% of $15: (6%/100%)*$15 and that is 0.06*15.
7 0
3 years ago
Look at the picture
valentina_108 [34]

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called <em>interior</em>. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are <em>exterior</em>.

If angles are in the same direction from the intersection point, they are <em>corresponding</em>.

Angles in opposite directions from the point of intersection are <em>vertical</em> angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

6 0
2 years ago
A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic
yuradex [85]

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is V=1592\ m^3

The density of the helium is \rho =0.1785\ kg/m^3

Mass of the helium gas is given by the product of density and volume

\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg

Thus, the mass of gas is 285.2 kg

3 0
2 years ago
PLEASE HELP! If you solve this I would be so grateful!
stealth61 [152]

Answer:

f(h)=2d+4.3

= 2 x 1.5+4.3

  h=7.3ft

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please answer this correctly
    9·1 answer
  • What is the volume of a rectangular prism that has a length of 9 feet, a width of 5 feet, and a height of 7.5 feet? 300 ft3 150
    13·2 answers
  • Order the numbers from least to greatest. −34, 0.5, 23,−73, 1.2 The order of the numbers from least to greatest
    12·2 answers
  • What are two other negative integers that have the same sum as -2 and -5​
    15·1 answer
  • If two lines do not intersect , then their intersection is not exactly one point.
    8·1 answer
  • Three cards are taken, one after the other and without replacement, from a standard deck of 52 card. Find the probability that t
    13·1 answer
  • ACDE is reflected over the y-axis.
    5·1 answer
  • Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cy
    15·1 answer
  • Solve the equation<br>6j + 27 = j + 57​
    11·2 answers
  • You are playing a card game where the total points you earn depends on theasuits of the cards you draw. The total number of poin
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!