Answer:
a=3
b=3
Step-by-step explanation:
(2xy)^4
----------------
4xy
Expand the numerator
2^4 x^4 y^4
---------------------
4xy
Simplify
16 x^4 y^4
---------------------
4xy
We know that a^b / a^c = a^(b-c)
16/4 * x^(4-1) y^(4-1)
4 x^3 y^3
Answer:
b = 2x²
Step-by-step explanation:
Let the number of bacteria = x
Every hour, the number of bacteria doubles itself, = x * x = x²
But the bacteria started with 2g,
The number of bacteria present is equal to
2 * x² = 2x².
At every hour, the growth of the bacteria is at 2x²
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
We can determine whether the change represents exponential growth or decay by seeing whether the number being raised to x is between 0 and 1, or greater than 1.
In the equation 
, y will increase every time that x increases, as we are multiplying by a number greater than 1 every time.
Hence, this exponential function represents exponential growth.
The percentage rate of increase for this function would be how much the y-value increases each time. Since we are multiplying by 1.04, each time the new value is 104% the original y-value. Hence, the percentage increase is 4%.
You group the like terms and multiply, and remember that when you multiply two like terms like x^4 times x^3 you ADD the exponents, so you would have x^7.
For this problem:
so for the x's: -3x^2(4x^3) = -12x^5;
now for the y's: y^2(y^4) = y^6;
so your final answer is -12x^5y^6
