Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
D,The volume will be 1/8 times the volume.
Yes, I agree with the researcher's method. All the values of
in the table correspond to the values of n by using their formula.
Step-by-step explanation:
Step 1:
If we substitute the values of n in the researcher's equation and we get the right values of
, we can agree with the researcher's method.
The researcher's formula is
Here
is the wombat population and n is the number of years.
Step 2:
When n = 1, 
when n = 2, 
when n = 3, 
when n = 4, 
when n = 5, 
As all the values correspond to the values on the table, I agree with the researcher's method.
-4x/5≥1/10
-8x≥1
x≤-1/8
x∈(-∞;-1/8]