Answer:
![\bold{2\cdot10^9}](https://tex.z-dn.net/?f=%5Cbold%7B2%5Ccdot10%5E9%7D)
Step-by-step explanation:
The given expression s are:
and
![4\cdot10^{-5}](https://tex.z-dn.net/?f=4%5Ccdot10%5E%7B-5%7D)
To find:
is how many times as large as
.
Solution:
Let
is
times as large as
.
So, we can say that:
= ![4\cdot10^{-5}](https://tex.z-dn.net/?f=4%5Ccdot10%5E%7B-5%7D)
![x](https://tex.z-dn.net/?f=x)
OR
![x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}](https://tex.z-dn.net/?f=x%3D%20%5Cdfrac%7B8%5Ccdot%2010%5E4%7D%7B4%5Ccdot%2010%5E%7B-5%7D%7D)
Let us have a look at the formula for exponents:
![\dfrac{x^p}{x^q} = x^{p-q}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5Ep%7D%7Bx%5Eq%7D%20%20%20%3D%20x%5E%7Bp-q%7D)
Here we have:
![x=10\\p=4\ and\\q=-5](https://tex.z-dn.net/?f=x%3D10%5C%5Cp%3D4%5C%20and%5C%5Cq%3D-5)
Solving the expression using above formula:
![\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%20%5Cdfrac%7B8%7D%7B4%7D%5Ccdot%2010%5E%7B4-%28-5%29%7D%7D%20%3D%20%5Cbold%7B2%5Ccdot10%5E9%7D)
So, Let
is
times as large as ![4\cdot10^{-5}](https://tex.z-dn.net/?f=4%5Ccdot10%5E%7B-5%7D)
Answer:
70% = 7/10
Step-by-step explanation:
The fraction is given in the problem statement as 70%. It can be expressed as 7/10, 0.7, 0.70, and many other ways. Take your pick.
Step-by-step explanation:
subject arts and architecture what primary