Answer:
3/4
Step-by-step explanation:
2/5+1/4+1/10=8/20+5/20+2/20=（8+5+2）/20=15/20=3/4
each person will get 1 and a half bag of popcorn. to draw a model you can either do a table or you can draw graph
Simple!
Since we can observe that they all have the same denominators (bottom part) we can just observe the numerator (top part)
6 is indeed greater than 5, yes? So we can safely say that
6/8 > 5/8
Now the for the second part.
6 is smaller than 7, yes? So we can make the observation that
6/8 < 7/8
Hope that makes sense! (Be sure to thank me, plz)
P.S. If you want an example of unlike denominators, let me know. <span />
<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>
