So the rule with multiplying exponents of the same base is
. Apply this rule here:

Next, the rule with converting negative exponents into positive ones is
. Apply this rule here:

<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:
6/5
Step-by-step explanation:
m is your rate of change you need to get y by itself.
3/2x - 15 = 5/4y
3x/2 - 30/2 = 5/4y
3x-30/2 = 5/4y
3x - 30 = 2 x 5/4y
3x - 30 = 2 x 5/4x2y (cross out 2 and 4)
3x - 30 = 5/2y
2 x 3x - 2 x 30 = 2 x 5/4y
6x - 60 = 5y
6x/5 - 60/5 = 5y/5
y = 6/5 x x - 12
Answer:
176/231
Step-by-step explanation:
88 blue marbles, 55 green marbles, and 88 red marbles =231 marbles
P (blue or red marble) = number of red or blue/ total
= 88+88 / 231
=176/231
Answer:
10
Step-by-step explanation:
We need to divide 2 3/5 ft by 1/4 ft.
2 3/5 / 1/4 =
= 2 3/5 * 4
= 13/5 * 4
= 52/5
= 10 4/10
Answer: 10
Answer:
The elevation would be -45 feet
Step-by-step explanation: