The first one is
![{4}^(11)](https://img.qammunity.org/2019/formulas/mathematics/high-school/qqpu1gal8x2xv7euunw3rob3ca8rwpk162.png)
This this because you simply add the exponents and keep the base.
The answer to the second one is
![\frac{42}{ {x}^(5) }](https://img.qammunity.org/2019/formulas/mathematics/high-school/iohwsewlvapi7nfu3bhfzdthap77n66wz1.png)
This is because you multiply the coefficients 6x7 = 42 then add the exponents -8 + 3 = -5 and get
![{42x}^( - 5)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ty69yx5ekrfkrslgflgb7376hnh0vplo9p.png)
However a negative exponent must be moved to the denominator leaving you with the answer I stated.
The answer to the next question is
![5.6 * {10}^(12)](https://img.qammunity.org/2019/formulas/mathematics/high-school/idk71p0f80fkt0gv41nqn63y1osswxqxw8.png)
The first step would be to multiple your coefficients 7 x 8 and exponents. By multiplying the 10 powers you just add the exponents. This would result in
![56 * {10}^(11)](https://img.qammunity.org/2019/formulas/mathematics/high-school/l6bf47y65a2wdq4oau1oq7kbfgkef06bn5.png)
However, this is not in scientific method because 56 > 9. To fix this you, move the decimal place over one on 56 to get 5.6 and add an exponent to 11 because you made 56 smaller by a factor of 10.
The answer to the final question is
![6.3 * {10}^( - 13)](https://img.qammunity.org/2019/formulas/mathematics/high-school/drrze9t2qzyefnq77nmnssn5c502wbzx6s.png)
Follow the same procedure I stated above! 9 × 7 = 63. You still add one though so -14 + 1 = -13.