The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
<h3>How to simplify the expression?</h3>
The algebraic statement is given as:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Rewrite the algebraic statement as:
[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the like factors
[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the sum
[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]
Expand the exponents
[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]
Evaluate the products
[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]
Apply the quotient law of indices
x^(0+12) y^(10/9) z^(-4/3+3)
Evaluate the sum of exponents
x^(12) y^(10/9) z^(-1/3)
Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
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Answer:
1. horizontal
2. (2,-6)
3. (4.2,-6) and (-0.2,-6)
Step-by-step explanation:
Answer:
(x)=3x^2−12x+16
Answer- =3x2−12x+16
Step-by-step explanation:
Hope this helps :)
Answer:
28
Step-by-step explanation:
The correct statement regarding the quadratic function is:
K. I, II and III.
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
If a > 0, it has a maximum value, and if a < 0, it has a minimum value.
The extreme value is 
, in which:
The solutions are:
In this problem, we have a function h(t). Changing the coefficient c, the h-intercept h(0) changes. Looking at the formulas in the bullet point, the value of 
changes, meaning that both the maximum value 
and the t-intercepts 
and 
will change, so option K is correct.
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