Then make up a word problem that you can use decimals in.
we will find number of non-zero elements on each rows
and then we add them
First row:
we can see that non-zero elements are
2 , 3.1 , 22 , 9
so, number of non-zero elements in first row =4
Second row:
we can see that non-zero elements are
21 , 3.2 , 6
so, number of non-zero elements in first row =3
Third row:
we can see that non-zero elements are
1 , 42 , 8
so, number of non-zero elements in first row =3
Fourth row:
we can see that non-zero elements are
40 ,4 , 6,14
so, number of non-zero elements in first row =4
Fifth row:
we can see that non-zero elements are
10 , 20 , 13 , 5 , 6.3
so, number of non-zero elements in first row =5
now, we can add them
so,
total number of non-zero elements = 4 +3+3+4+5
so,
total number of non-zero elements is 19...........Answer
Answer:
![(\sqrt[7]{3} )^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3%7D%20%29%5E%7B4%7D)
Step-by-step explanation:
The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.
Let's look at ![(\sqrt[4]{3} )^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B3%7D%20%29%5E%7B7%7D)
and ![\sqrt[4]{3^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%5E%7B7%7D%20%7D)
first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.
When you do the math, the exponent rule gives us fractions of 
for exponents, and eventually, a 
for both answers. So these are eliminated.
Now, for ![(\sqrt[4]{3}^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B3%7D%5E%7B7%7D)
, we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule: ![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
- <em>Multiply the exponents:</em>
- <em>Insert the product into the exponent: </em> <u>
</u>
And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.
