Answer:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Step-by-step explanation:
Given the expression
, to express this as a radical expressions, we'd apply the rule/law of indices that deals with converting expressions that has rational exponents into radical expressions.
The rule of indices to apply is: ![b^{\frac{m}{n}} = (\sqrt[n]{b})^m](https://tex.z-dn.net/?f=%20b%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%28%5Csqrt%5Bn%5D%7Bb%7D%29%5Em%20)
To apply this to the expression,
, the denominator of the fraction of the exponent would determine the root, that is, cube root in this case. The numerator of the exponent would then determine the exponent of the radical expressions.
Thus:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Answer:
Step-by-step explanation:
In order to get to choose the song Mark needs to roll a 1 since a 2 is the smallest number already rolled.
<u>Probability of rolling a 1 is:</u>
Answer:
PartA
P = 4a
Part B
60 = P fence + 2a
60 = 6a
Part C
40
Step-by-step explanation:
We are building a fence so we are finding perimeter.
Adding the 3 sides
P = a+b+a
P = 2a+b
It is twice as long as it is wide
b= 2a
Replace in the equation for perimeter
P = 2a+(2a)
P = 4a
Part B
We know the perimeter is 60 for the entire backyard
The perimeter of the backyard is the fence plus the longer side
60 = P fence + b
Replacing b
60 = P fence + 2a
We know the equation for the perimeter of the fence is
60 = 4a + 2a
Combing like terms
60 = 6a
Part C
Solve for a and b
60 = 6a
Divide each side by 6
60/6 = 6a/6
10 =a
P fence = 4a
P = 4(10) = 40
Answer:
N: n = 5 sides
side length: a = 23.2 m
inradius: r = 15.966 m
circumradius: R = 19.7351 m
Area: A = 926.03 m2
perimeter: P = 116 m
interior angle: x = 108 °
exterior angle: y = 72 °
Description:
We use the calculations on the shape 16 and 23.2. Side length is 23.2. Pi is 16. calculate the numbers and all the answers are added above.
Please mark brainliest
<em><u>Hope this helps.</u></em>
Answer:
3 1/8
Step-by-step explanation:
Subtract and then simplify