All categories

4 years ago

How to solve this in simplified form.

Mathematics

2 answers:

nika2105 [10]4 years ago

7 0

When multiplying exponents, add them
e^10*e^-2=e^(10-2)=e^8

kaheart [24]4 years ago

7 0

I think you are aware of the power rules

I attached charts that would help you

For your case:
$\Large e^{10}*e^{-2}=e^{(10)+(-2)}=e^{10-2}=e^8

$

I hope that helps!

You might be interested in

Convert 40 ounces into pounds. Round your answer to the nearest tenth.

alex41 [277]

Answer:

Step-by-step explanation:

7 0

2 years ago

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

$21 + B = 30$

$B = 9\ gallons$

3 0

3 years ago

Solve for the unknown. Rewrite each phrase as a multiplication sentence. Circle the scaling factor and put a box around the numb

skad [1K]

I hope this helps, i got it from a cheat sheet online

6 0

3 years ago

Simplify the expression:<br> 2+(a +5) =

nekit [7.7K]

Answer:

a+7

Step-by-step explanation:

2 + 5 = 7
7+a or a+7

6 0

3 years ago

Read 2 more answers

Volume of this prism

Lyrx [107]

The volume is (area of cross-section) x (length) .

-- The cross-section is a triangle. The area of a triangle is

Area = (1/2) (base) (height) .

In this one, the base is 9/4 m and the height is 3-1/3 m .

Area = (1/2) (9/4 m) (3-1/3 m)

Area = (1/2) (9/4) (10/3)

Area = 90/24 m² .

-- Volume = (area of cross-section) x (length)

Volume = (90/24 m²) x (7-1/3 m)

Volume = (90/24) x (22/3) m³

Volume = (1,980 / 72) m³

<em>Volume = 27.5 m³ </em>

5 0

4 years ago