Given:
Consider the equation is
![\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%5E%7B16%7D%7D%7Bh%5Ex%7D%3D%5Cdfrac%7B1%7D%7Bh%5E%7B24%7D%7D)
To find:
The value of x.
Solution:
We have,
![\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%5E%7B-16%7D%7D%7Bh%5Ex%7D%3D%5Cdfrac%7B1%7D%7Bh%5E%7B24%7D%7D)
Using properties of exponents, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%2Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
On comparing both sides, we get
![-16-x=-24](https://tex.z-dn.net/?f=-16-x%3D-24)
Add 16 on both sides.
![-x=-24+16](https://tex.z-dn.net/?f=-x%3D-24%2B16)
![-x=-8](https://tex.z-dn.net/?f=-x%3D-8)
Multiply both sides by -1.
![x=8](https://tex.z-dn.net/?f=x%3D8)
Therefore, the value of x is 8.
Answer:
length is 29.3, width is 3
Step-by-step explanation:
A= L×W
and if A = 88 and W is 3
88= L×3
Divide
88/3
legth =29.3
When 2 or more expressions are equivalent, that means they have the same outcome or result.