SOLUTION: Simplify 20^10/40^5 20 to the 10th divided by 40 to the 5th

Question 1207258: Simplify
20^10/40^5 20 to the 10th divided by 40 to the 5th
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
20^10 / 40^5 equals:

2^10 * 10^10) / (2^5 * 2^5 * 10^5) equals:

(2^10 * 10^10) / (2^10 * 10^5) equals:

2^10 / 2^10 * 10^10 / 10^5 equals:

10^5 which is equal to 100,000.

you can use your calculator to confirm.

calculator tells you (20^10) / 40^5 = 100,000.

the concepts used are:

(a * b)^x = a^x * b^x

(a^x * b^x) / (a^y * b^y) = (a^x / a^y) * (b^x / b^y)

you can see the first concept in 20^10 = (2 * 10) ^ 10 = 2^10 * 10^20.

you can see the second concept in (2^10 * 10^10) / (2^10 * 10^5) = 2^10 / 2^10 * 10^10 / 10^5.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Break the denominator into two parts:

Simplify the powers of 20 in the numerator and denominator:

ANSWER: 10^5, or 100,000

RELATED QUESTIONS
what is 1,934,672 divided by 10 to the 5th power (answered by checkley77)
I have to divide is x^2+8x-20/x^2+6x-16 divided by x^2+6x-40/x^2+3x-40 I have to simplify (answered by richwmiller)
How do I plug my answer into the equation to check my answer, by using paper and pencil... (answered by Alan3354)
write each series below in sigma summation notation 5+15+25+35..................... (answered by Fombitz)
Can anyone help me to the inequality represented by the graph?? <-- -20--... (answered by jim_thompson5910)
how do you simplify 4x to the 5th power divided by 8x. (answered by jake_6233)
Is 40 divided by 1.99 less than, equal to, or greater than... (answered by stanbon)
Solve: x to the 5th divided by 4x... (answered by edjones)
Please help me with this homework question! Simplify. 15x to the 5th power divided by 90x (answered by 303795)