(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
Using <span>Pythagorean theorem: c^2 = a^2 + b^2, and if a = 22 and b = 50
c^2=484+2500
c=sqrt 2984
c=55 meters</span>
Answer:
Step-by-step explanation:
She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤
Each folder is $2.15, so you are going to multiply: 2.15 × f
Each notebook is $4.60, so you will multiply: 4.6 × n
You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.
Make the equation:
:Done
1. John can create 5 paintings per week.
2. Sasha can walk 30 minutes per mile.
3. Todd takes 24 minutes per room he cleans.
4. Victoria takes half of one day per necklace she makes.
5. Byron can make 12 cakes per day.
6. Charlie paid $130 for each table.
