Answer:
The answer to your question is ![\frac{81}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B64%7D)
Step-by-step explanation:
Use Law of exponents to solve this problem.
1.- Power of a fraction rule
![(\frac{8}{9})^{-2} = \frac{(8)^{-2} }{(9)^{-2} }](https://tex.z-dn.net/?f=%28%5Cfrac%7B8%7D%7B9%7D%29%5E%7B-2%7D%20%3D%20%5Cfrac%7B%288%29%5E%7B-2%7D%20%7D%7B%289%29%5E%7B-2%7D%20%7D)
2.- Negative exponent
![\frac{8^{-2} }{9^{-2} } = \frac{9^{2} }{8^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B8%5E%7B-2%7D%20%7D%7B9%5E%7B-2%7D%20%7D%20%3D%20%5Cfrac%7B9%5E%7B2%7D%20%7D%7B8%5E%7B2%7D%20%7D)
3.- Simplify
![\frac{9^{2} }{8^{2} } = \frac{81}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5E%7B2%7D%20%7D%7B8%5E%7B2%7D%20%7D%20%3D%20%5Cfrac%7B81%7D%7B64%7D)
Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
![4x^{2}+23x-6](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6)
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
![4x^{2}+23x-6\\\\ =4x^{2}+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)](https://tex.z-dn.net/?f=4x%5E%7B2%7D%2B23x-6%5C%5C%5C%5C%20%3D4x%5E%7B2%7D%2B24x-x-6%5C%5C%5C%5C%5Ctext%7BTaking%20out%20commons%2C%20we%20get%7D%5C%5C%5C%5C%3D4x%28x%2B6%29-1%28x%2B6%29%5C%5C%5C%5C%20%3D%284x-1%29%28x%2B6%29)
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
Answer:
3/2
Step-by-step explanation:
● (-3/8) ÷(-1/4)
Flip the second fraction by putting 1 instead 4 and vice versa.
● (-3/8)* (-4/1)
-4 over 1 is -4 since dividing by 1 gives the same number.
● (-3/8)*(-4)
Eliminate the - signs in both fractions since multiplying two negative numbers by each other gives a positive number.
●( 3/8)*4
● (3*4/8)
8 is 2 times 4
● (3*4)/(4*2)
Simplify by eliminating 4 in the fraction.
● 3/2
The result is 3/2
Answer:
The consecutive numbers are 80, 81, 82, 83
Answer:
270
Step-by-step explanation:
360-90 =270 since the arc for xw is 90 then subtract the whole circle