To solve the problem we must know the basic exponential properties.
<h3>What are the basic exponent properties?</h3>
![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
The expression can be written as ![x^9\sqrt[3]{y}](https://tex.z-dn.net/?f=x%5E9%5Csqrt%5B3%5D%7By%7D)
.
Given to us
Using the exponential property,
Using the exponential property ,
![=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}](https://tex.z-dn.net/?f=%3Dx%5E9%5Ctimes%20y%5E%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3Dx%5E9%5Ctimes%20%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C%3Dx%5E9%20%5Csqrt%5B3%5D%7By%7D)
Hence, the expression can be written as .
Learn more about Exponent properties:
brainly.com/question/1807508
Answer:
The smaller angle is 35 and the larger one is 145.
Step-by-step explanation:
In order to find this, we need to express the larger angle in terms of the smaller angle (x).
4x + 5 = large angle.
Now that we have this, we can add them together and set equal to 180.
x + (4x + 5) = 180
5x + 5 = 180
5x = 175
x = 35
Now that we have the value of the smaller angle, we can plug in to get the larger angle.
y = 4x + 5
y = 4(35) + 5
y = 140 + 5
y = 145
Answer:
1. The equation is given as
324 = 220 +135 + C
2. We have 166 As the correct answer but is not in the option
Step-by-step explanation:
We are been given the following values
No. of trophies = 3
Total Legos required for all trophies = 324
No. of Legos for largest trophy(A) = 220
No. of Legos for smallest trophy(B) = 135
No. of Legos required for final trophy(C) which is unknown
Total legos will addition of everything
Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]
Substituting the values
324 = 220 +135 + C
Making C subject of formula
324 = 355 + C
324 - 355 = C
-31 = C
135 + 31 = 166
We have 166 As the answer
