The first one is
[tex] {4}^{11} [/tex]
This this because you simply add the exponents and keep the base.
The answer to the second one is
[tex] \frac{42}{ {x}^{5} } [/tex]
This is because you multiply the coefficients 6x7 = 42 then add the exponents -8 + 3 = -5 and get
[tex] {42x}^{ - 5} [/tex]
However a negative exponent must be moved to the denominator leaving you with the answer I stated.
The answer to the next question is
[tex]5.6 \times {10}^{12} [/tex]
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
[tex]56 \times {10}^{11} [/tex]
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
[tex]6.3 \times {10}^{ - 13} [/tex]
Follow the same procedure I stated above! 9 × 7 = 63. You still add one though so -14 + 1 = -13.
