Choose the correct simplification of $(a^5b^6)/(a^4b^4)$ (a) $a^9b^1^0$
(b) $ab^2$
(c) $(1)/(ab^2)$
(d) $(1)/(a^9b^1^0)$

Answers

Answer 1

Answer:

The correct simplification will be: (b) ab²

$(a^5 b^6)/(a^4 b^4)$

Here we will use the property of exponents for division of two exponential terms with same bases. The original property is : $(x^m)/(x^n) = x^m^-^n$

It means if the bases are same , then we will just subtract the exponents while dividing two terms.

Using this property:

$(a^5)/(a^4) = a^5^-^4 = a^1 = a$

and $(b^6)/(b^4) = b^6^-^4 = b^2$

So,

Answer 2

Answer:

Answer:

a^5 - a^4 = a1 or a

b^6 - b^4 = b2

put them together and you get ab^2

I also took the test and got it right

Related Questions

A theater has 30 seats in the first row, 33 seats in the second row, 36 seats in the third row, and so on in the same increasing pattern. If the theater has 15 rows of seats, how many seats are in the theater?
Jason stop at a park at 35 min then left at 100min how long did he stay for
Chromium-51 has a half-life of 28 days. If Georgia leaves a bottle of 10,000-milligram capsules in her medicine cabinet for a year, what will be the strength in milligrams of each capsule? Round to the nearest milligram
A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?
-7(1+7n)=36-6n this is a very hard solving equations question I don't get HELP!!!

Find the value of x.

Answers

Using the Pythagorean Theorem, we find that x = 10.

To find the value of x, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In this case, the hypotenuse is x, and the legs are 6 and 8. Therefore, we can write the Pythagorean Theorem as follows:

x^2 = 6^2 + 8^2

x^2 = 36 + 64

x^2 = 100

x = sqrt(100)

Therefore, the value of x is 10.

Here is a more detailed explanation of the Pythagorean Theorem:

The Pythagorean Theorem is a mathematical formula that describes the relationship between the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In other words, if a right triangle has sides of length a, b, and c, where c is the hypotenuse (the longest side), then the following equation holds:

c^2 = a^2 + b^2

This equation can be used to find the length of any side of a right triangle, given the lengths of the other two sides.

For example, if we know the lengths of the legs of a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse. Or, if we know the length of the hypotenuse and one of the legs, we can use the Pythagorean Theorem to find the length of the other leg.

The Pythagorean Theorem is one of the most important theorems in mathematics, and it has many applications in geometry, trigonometry, and physics. It is also used in many real-world applications, such as surveying, construction, and navigation.

For such more questions on Pythagorean

brainly.com/question/343682

#SPJ1

A pair of equations is shown below:y = 7x − 9
y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

Asking the Math Gods...

X=2
Y=5

Sub y=3x-1
[(3x-1)=7x-9]
Isolate x for (3x-1)=7x-9: x=2

for y=3x-1
Sub x=2
y=3*2-1 y=5

How do you work out 3x+7-6x=5x-1

Answers

3x+7-6x=5x-1
Put the like terms together;
3x-6x-5x=-1-7
-8x=-8
x=1

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answers

The future amount of money that is invested currently at a certain interest that is compounded annually is calculated through the equation,
F = P x (1 + i)^n
where F is the future worth, P is the present worth, i is the interest rate, and n is the number of years. Substituting the known values and variables in the given, F = ($360)(1.03)^x

Answer: $y = 360(1.03)^x$

Step-by-step explanation:

Since, the principal amount of the money = $ 360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3 %,

$= 360(1+(3)/(100) )^x$

$= 360(1+0.03 )^x$

$= 360(1.03 )^x$

Since, this amount represented by y,

Thus, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

What is The square root of 3 plus the square root of 1/3?

Answers

All very interesting, I suppose, but no correct answer appears yet.

The square root of 3 is 1.732051... (rounded)

The square root of 1/3 is 0.577350... (rounded)

Their sum is 2.309401... (rounded)

What is the equation of the line that passes through the points (-2,2) and (0,5)?

Answers

$(-2,2), \ \ \ (0,5)\n\nFirst \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 5-2)/(0+2) = (3)/(2) \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1))\n\nm=(3)/(2), \ \ x_(1)=-2, \ \ y_(1)=2 \n \ny- 2 = (3)/(2) (x+2)\n\ny=(3)/(2)x +3+2 \n \ny=(3)/(2)x + 5$

Other Questions

a long distance telephone company charges a rate of 8 cents per minute or 90 cent mininum charge per call, whichever is greater. Find the cost in cents per minute for a 41 minute call.

D=150 ft r=20 ft per min. t=?

What is the value of |–46| ?A. –46 B. 46

If x = 3 units, y = 13 units, and h = 7 units, then what is the area of the trapezoid shown above?

Choose the correct simplification of (a) (b) (c) (d)

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Choose the correct simplification of $(a^5b^6)/(a^4b^4)$ (a) $a^9b^1^0$
(b) $ab^2$
(c) $(1)/(ab^2)$
(d) $(1)/(a^9b^1^0)$