Answer:
15.83
Step-by-step explanation:
13.11 / 100 = 0.1311
0.1311*5=5%=0.6555
13.11+0.6555=13.7655
13.7655/100=0.137655 * 15 -->15%=2.064528
13.7655+2.064528=15.830325
Answer:
![\boxed{\dfrac{16y^{4}}{7x^{4}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdfrac%7B16y%5E%7B4%7D%7D%7B7x%5E%7B4%7D%7D%7D)
Step-by-step explanation:
Your expression is
![\dfrac{(7x^{2}y^{-2})^{-1}}{(4x^{-1}y)^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%287x%5E%7B2%7Dy%5E%7B-2%7D%29%5E%7B-1%7D%7D%7B%284x%5E%7B-1%7Dy%29%5E%7B-2%7D%7D)
1. Handle the outer exponents
Remember that x⁻¹ = 1/x . Then
![\dfrac{(7x^{2}y^{-2})^{-1}}{(4x^{-1}y)^{-2}} = \dfrac{(4x^{-1}y)^{2}}{7x^{2}y^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%287x%5E%7B2%7Dy%5E%7B-2%7D%29%5E%7B-1%7D%7D%7B%284x%5E%7B-1%7Dy%29%5E%7B-2%7D%7D%20%3D%20%5Cdfrac%7B%284x%5E%7B-1%7Dy%29%5E%7B2%7D%7D%7B7x%5E%7B2%7Dy%5E%7B-2%7D%7D)
2. Square the numerator
When you square a number, you multiply its exponent by 2.
![\dfrac{(4x^{-1}y)^{2}}{7x^{2}y^{-2}} = \dfrac{4^{2}x^{-2}y^{2}}{7x^{2}y^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%284x%5E%7B-1%7Dy%29%5E%7B2%7D%7D%7B7x%5E%7B2%7Dy%5E%7B-2%7D%7D%20%3D%20%5Cdfrac%7B4%5E%7B2%7Dx%5E%7B-2%7Dy%5E%7B2%7D%7D%7B7x%5E%7B2%7Dy%5E%7B-2%7D%7D)
3. Divide like terms
![\dfrac{4^{2}x^{-2}y^{2}}{7x^{2}y^{-2}} = \left ( \dfrac{16}{7}\right)\left (\dfrac{x^{-2}}{x^{2}}\right )\left (\dfrac{y^{2}}{y^{-2}}\right )](https://tex.z-dn.net/?f=%5Cdfrac%7B4%5E%7B2%7Dx%5E%7B-2%7Dy%5E%7B2%7D%7D%7B7x%5E%7B2%7Dy%5E%7B-2%7D%7D%20%3D%20%5Cleft%20%28%20%5Cdfrac%7B16%7D%7B7%7D%5Cright%29%5Cleft%20%28%5Cdfrac%7Bx%5E%7B-2%7D%7D%7Bx%5E%7B2%7D%7D%5Cright%20%29%5Cleft%20%28%5Cdfrac%7By%5E%7B2%7D%7D%7By%5E%7B-2%7D%7D%5Cright%20%29)
4. Evaluate each term
When you divide numbers with exponents, you subtract the exponent in the denominator from that in the numerator
![\left ( \dfrac{16}{7}\right)\left (\dfrac{x^{-2}}{x^{2}}\right )\left (\dfrac{y^{2}}{y^{-2}}\right ) = \left ( \dfrac{16}{7}\right)\left (\dfrac{x^{-4}}{1}\right )\left (\dfrac{y^{4}}{1}\right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cdfrac%7B16%7D%7B7%7D%5Cright%29%5Cleft%20%28%5Cdfrac%7Bx%5E%7B-2%7D%7D%7Bx%5E%7B2%7D%7D%5Cright%20%29%5Cleft%20%28%5Cdfrac%7By%5E%7B2%7D%7D%7By%5E%7B-2%7D%7D%5Cright%20%29%20%3D%20%5Cleft%20%28%20%5Cdfrac%7B16%7D%7B7%7D%5Cright%29%5Cleft%20%28%5Cdfrac%7Bx%5E%7B-4%7D%7D%7B1%7D%5Cright%20%29%5Cleft%20%28%5Cdfrac%7By%5E%7B4%7D%7D%7B1%7D%5Cright%20%29)
5. Move x to the denominator and combine terms
![\left ( \dfrac{16}{7}\right)\left (\dfrac{x^{-4}}{1}\right )\left (\dfrac{y^{4}}{1}\right ) =\mathbf{ \dfrac{16y^{4}}{7x^{4}}}\\\\\text{The simplified expression with positive exponents is } \boxed{\mathbf{\dfrac{16y^{4}}{7x^{4}}}}](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Cdfrac%7B16%7D%7B7%7D%5Cright%29%5Cleft%20%28%5Cdfrac%7Bx%5E%7B-4%7D%7D%7B1%7D%5Cright%20%29%5Cleft%20%28%5Cdfrac%7By%5E%7B4%7D%7D%7B1%7D%5Cright%20%29%20%3D%5Cmathbf%7B%20%5Cdfrac%7B16y%5E%7B4%7D%7D%7B7x%5E%7B4%7D%7D%7D%5C%5C%5C%5C%5Ctext%7BThe%20simplified%20expression%20with%20positive%20exponents%20is%20%7D%20%5Cboxed%7B%5Cmathbf%7B%5Cdfrac%7B16y%5E%7B4%7D%7D%7B7x%5E%7B4%7D%7D%7D%7D)
Answer:
1566
Step-by-step explanation:
20*50=1000
20*4=80
<h3>1000+80=1080</h3>
9*50=450
9*4=36
450+81=486
<h2>1080+486=1566</h2>
Answer:
x = 2 and y = 3
Step-by-step explanation:
We have
x+2y = 8 -----equation (i)
2x-y = 1 -----equation (ii)
Now,
x+2y = 8
or, x = 8-2y ------equation (iii)
Again,
2x-y = 1
or, 2x = 1+y
or, 2x-1 = y
Putting the value of 'x' from equation (iii)
or, 2(8-2y)-1 = y
or, 16-4y-1 = y
or, 16-1 = y+4y
or, 15 = 5y
or, y = 15/5
or, y = 3
Putting the value of 'y' in equation (iii)
x = 8-2y
or, x = 8-(2×3)
or, x = 8-6
or, x = 2
Therefore, x = 2 and y = 3.
Answer:
x = 7/12
Step-by-step explanation:
Solve the exponential problem :
1/16=64^4x-3
1 / 4^2 = 4^3(4x - 3)
4^-2 = 4^3(4x - 3)
-2 = 3(4x - 3)
-2 = 12x - 9
-2 + 9 = 12x
7 = 12x
7/12 = 12x/12
7/12 = x
Hence, x = 7/12