If you had absolutely no idea, then you'd have roughly two choices
of how to find it:
#1). Try numbers until you find the right one.
Pick a number.
Cube it.
If you get less than 729, go back and try a bigger number.
If you get more than 729, go back and try a smaller number.
Eventually you find the right one.
Try 1. 1³ = 1 . Too small.
Try 2. 2³ = 8 . Still too small.
Try 5. 5³ = 125 . Still too small.
Try 20. 20³ = 8,000. Ooops. Too big.
Try 10. 10³ = 1,000 Too big.
Try 8. 8³ = 512. Oooo. Too small, but maybe getting close.
Try 8.5. 8.5³ = 614.125 Still too small, but very close.
Try 9. 9³ = 729 . That's it ! yay !
#2). x³ = 729
Take the log of each side: log(x³) = log(729)
3 log(x) = log(729)
Divide each side by 3 : log (x) = (1/3) log(729)
Look up log(729) : log(x) = (1/3) (2.86272...)
= 0.95424...
Raise 10 to the power
of each side: 10^log(x) = 10⁰·⁹⁵⁴²⁴···
x = 8.99994...
(That's the way it is with logs.
They never come out even.)
Answer:
p=11
Step-by-step explanation:
Distribute: 2p+2=24
Subtract 2 from both sides: 2p=22
Divide both sides by 2 (to get p by itself): p=11
3/5 divided by 17/10
3/5 x 10/17
30/85
=6/17
The result of diving 107 by 10⁻³ is (E) 107,000.
<h3>
What do we mean by division?</h3>
- The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
- Addition, subtraction, and multiplication are the other operations.
- At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.
- For example, if 20 apples are distributed evenly among four people, each receives five apples (see picture).
So, we know that 10⁻³ is 0.001.
- Now, 107/0.001 = 107,000.
Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.
Know more about division here:
brainly.com/question/25289437
#SPJ4
The correct question is given below:
The result of dividing 107 by 10^-3 is?
a. 10-4.
b. 102.5.
c. 1010.
d. 104.
e. 107,000
Answer:
see attached
Step-by-step explanation:
See attached for step-by-step of the first problem.
The remaining two are solved in exactly the same way - just swap out the letters.
I've also attached the different exponent rules I've used.
