13=3+10
so it is now
3+10-7
we know that 10-7=3 so we now have
3+3=6
tada
So the rule with multiplying exponents of the same base is
. Apply this rule here:
![7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}](https://tex.z-dn.net/?f=%207%5E%7B-%5Cfrac%7B5%7D%7B6%7D%7D%2A7%5E%7B-%5Cfrac%7B7%7D%7B6%7D%7D%3D7%5E%7B-%5Cfrac%7B5%7D%7B6%7D%2B%7B-%5Cfrac%7B7%7D%7B6%7D%7D%7D%3D7%5E%7B-%5Cfrac%7B12%7D%7B6%7D%7D%3D7%5E%7B-2%7D%20)
Next, the rule with converting negative exponents into positive ones is
. Apply this rule here:
![7^{-2}=\frac{1}{7^2}=\frac{1}{49}](https://tex.z-dn.net/?f=%207%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B7%5E2%7D%3D%5Cfrac%7B1%7D%7B49%7D%20)
<u>Your final answer is 1/49.</u>
<h2>------------------------------------------------</h2>
So an additional rule when it comes to exponents is ![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D%20)
In this case, your fractional exponent, x^9/7, would be converted to
. However, I had just realized you can further expand this.
Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:
![\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7Bx%5E9%7D%3D%5Csqrt%5B7%5D%7Bx%5E7%2Ax%5E2%7D%3Dx%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
Your final answer would be ![x\sqrt[7]{x^2}](https://tex.z-dn.net/?f=%20x%5Csqrt%5B7%5D%7Bx%5E2%7D%20)
Answer:
90 degrees and up
Step-by-step explanation:
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
Step-by-step explanation:
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm