How do you determine which is greater #4^2*4^3 (<=>) 4^5#?
One of the properties of exponents says that
Hence we can say that
They are equal.
The rule says that the multiplication of powers of a same base is the base elevated to the sum of the powers. In formulas:
Apply the definition of power:
Multiply the two numbers:
So, no one of the two numbers is greater than the other, they are exactly the same.
Based on an assumption: They are the same!
Assumption: by the dot you mean multiply.
Now consider both parts (1) and (2) together:
(2) may be rewritten as
but we know that (2) is also
From this we can deduce that
Ok! now look at the question given:
By using the same approach as before this would give us:
In conclusion: both sides of