<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.
Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us
[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.
Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.
Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.
Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
Okie so I can see you tomorrow and I’ll be right there on time to meet
The slope of the line is 4.83 and the y-intercept is 51
<h3>How to determine slope and the y-intercept?</h3>
From the graph, we can see that the line of the best fit touches the y-axis at y = 51
This means that:
The y-intercept is 51
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Using the points on the line, we have:
m = (80 - 51)/(6 - 0)
Evaluate
m = 4.83
Hence, the slope of the line is 4.83
Read more about line of best fit at:
brainly.com/question/25226042
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