9514 1404 393
Answer:
(64x^28)/(5y^22)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
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First, eliminate the outside exponent on the left factor. Then use the above rules to combine factors with the same base.
Answer:
k = 9
Step-by-step explanation:
Given
Required
The perfect number
The coefficient c of x in the above equation is:
Divide by 2
Square both sides
Hence, the constant to add is:
He product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to find x, the value of the greater number. What is the value of the greater number?
Solution
Here the second number is "x"
The first number is "x - 5"
The equation is x (x - 5) = 750
- 5x = 750
Subtract 750 from both sides, we get
Solving the above quadratic equation using quadratic formula, we get
Here we have to plug in a =1, b = -5 and c = -750 in the above formula, we get
When we simplify the above expression is...
x = 30 and x = -25
x = -25 cannot be the solution since it is negative value.
x = 30 is the solution.
Here "x" represents the second number which is 30, that is the greater number.
Therefore, the answer is 30.