Answer:
a = 0
Step-by-step explanation:
The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...
(x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0
Comparing that to x^a, we find a=0.
_____
The applicable rules of exponents are ...
![\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%5C%5C%5C%5C%5Cdfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D)
Okay, I went through a lot of work to try solving this, so here goes!
First, turn the mixed numbers into improper fractions.
6 1/4 --> 25/4
3 3/5 --> 18/5
Next, we need to multiply the two improper fractions together.
25 x 18 450
--- --- = ---
4 x 5 20
Then, we need to turn 450/20 into a mixed number. To do this, we divide.
450/20=22 10/26
We're almost done. Last step is to simplify the mixed number, specifically 10/26. We need to find GCF of 10 and 26, which is 2.
10/2=5
26/2=13
= 5/13
FINAL ANSWER - 22 5/13
You're welcome.
Answer:
<u>x=-1.5</u>
Step-by-step explanation:
To solve for x, you need to rearrange so the x is on one side of the "=" by itself.
So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.
The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.
The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.
<em>I have attached a photograph of this method written out using the funnel technique. </em>