here we have 3X to 5 seventh power in radical form

we need write this in radical form we knwo that 
so ![3x^{5/7} =\sqrt[7]{3x^{5}}](https://tex.z-dn.net/?f=%203x%5E%7B5%2F7%7D%20%3D%5Csqrt%5B7%5D%7B3x%5E%7B5%7D%7D%20%20%20)
this will be the radical form .
Answer:
The missing exponent = power of 3
852.763 x 10³ = 852763
Step-by-step explanation:
The expression 852.763 x 10?
A number that is 1,000 times the value of 852.763 is calculated as:
852.763 × 1000 = 852763
Converting this to exponent
852.763 × 10³ = 852763
Therefore, the missing exponent that would result in number that is 1,000 times the value of 852.763 is power of 3 meaning 10³
the operation:

Gives a square number.
<h3>
How to get a perfect square?</h3>
A perfect square is the product of a number and itself.
As you can see in the example, 16 is a square number. Then let's try to get 16.
To get 16 we can use the difference:
20 - 4
So the first therm needs to be equal to 20, and the second equal to 4.
To write 20 in scientific notation we have:

To write 4 in in scientific notation:

Then the operation:

Gives a square number.
If you want to learn more about square numbers:
brainly.com/question/21694652
#SPJ1
Answer:


Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

we can substitute the value of sec(θ) in this equation:

and solve for for cos(θ)

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
- length of the adjacent side = 1
- length of the hypotenuse = 52
we can find the third side using the Pythagoras theorem.




- length of the opposite side = √(2703) ≈ 51.9904
we can find the sin(θ) using this side:


and since 
