# algerbra

how do i set up and whats the prosedure to solve 10 to the 7th power times 10 to the third power divided by 10 to the 4th power times ten to the negitive 9the power? please help you are doing mankind a favor.if i don't pass this i will be labeld the dumest of the .

1. 👍
2. 👎
3. 👁
1. 10^7 * 10^3
-------------
10^4 *10^-9

to multiply, add exponents if the base is the same.
Of course that means to divide, subtract exponents.
Since the base for all of these is ten, all we have to do is add and subtract.
7 + 3 - 4 - -9 of course - - is +
7 + 3 - 4 + 9 = 15
so the answer is :::
10^15

1. 👍
2. 👎
2. We have this:

10^7 * 10^3
------------- =
10^4 * 10^-9

We can multiply the numerators and denominators as step one, if you'd like.

10^7 * 10^3 = 10^10 = our numerator.

10^4 * 10^-9 = 10^-5 = our denominator.

We now have this fraction:

10^10/10^-5

Since we have the SAME BASE of 10 in the numerator and denominator, we simply SUBTRACT THE EXPONENTS.

Our exponents are:

10 - (-5) = 10 + 5 = 15

Final answer: 10^15, which is read:

"ten to the fifthteenth power."

The word power also means exponent, which also means degree.

Is that clear?

1. 👍
2. 👎

## Similar Questions

1. ### Science

Which of the following energy sources is relatively expensive to set up, but has a low cost once it is in place? A Natural gas B Coal C Nuclear power D Solar power I think the answer is D, solar power. Please help ASAP. Thanks to

2. ### History

Which of the following powers is shared by presidents in both Russia and the United States? A:the power to declare war. B:the power to pass legislation C:the power to set policy by decree D:the power to choose a second in

3. ### math algebra

what is the 7th term of the geometric sequence 10,2.2/5,2/25 (solve here)

4. ### Mathematics- Algebra

Rewrite the product as an exponent: a to the 7th power, y to the seventh power a7y7

1. ### Social studies

whats a 7th grade social studies word that begins with Y?

2. ### Algebra-please check my answers

Solve the equation by expressing each side as a power of the same base and then equating exponents. 9^(x - 9)/8= sqrt of 9 i got 13 4^(x + 10) = 8^(x - 6) i got 38 Solve the exponential equation. Express the solution set in terms

3. ### math

What is the cube root of x to the 7th power?

4. ### math6

the lcm is 30 the gcf is 2 whats the pair of numbers for each set of conditions

1. ### Science

In order to sail through the frozen Artic Ocean, the most powerful icebreaker ever built was constructed in the former Soviet Union. At the heart of the ship's power plant is a nuclear reactor with a power output of 5.60X10^7 W

2. ### Math

Hey, I just need my answer checked. Simplify: y to the 4th power times y to the 3rd power y to the 1st power y to the 7th power ** y to the 12th power y to the 43rd power correct? If not, please show work for me. thanks.

3. ### Math

How many liters of oil are required to supply the electrical energy needs of an average home for a month? Energy released by burning 1 liter of oil= 1.2 x 10(7th power) Electrical energy used in an average home daily 5 X 10 (7th

4. ### Math

I just don't understand this question: h(t)=A*b^x h(3)=4 h(5)=40 Solve for b Would you plug 3 into the x and set it equal to 4? (4=A*b^3) How would you solve for that because in the next question they go on to ask you to solve for