The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power ⇒ answer A
Step-by-step explanation:
Let us explain how to change the radical expression as an expression
with a rational exponent
1. Find the number of the root and make it the denominator of the
fraction exponent
2. Find the power of the term under the radical and make it the
numerator of the fraction exponent
Examples:

![\sqrt[3]{x^{n}}=x^{\frac{n}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7Bn%7D%7D%3Dx%5E%7B%5Cfrac%7Bn%7D%7B3%7D%7D)
![\sqrt[5]{x^{n}}=x^{\frac{n}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7Bn%7D%7D%3Dx%5E%7B%5Cfrac%7Bn%7D%7B5%7D%7D)
So ![\sqrt[m]{x^{n}}=x^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%7D%3Dx%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
∵ the radical expression is the seventh root of x to the third power
∵ seventh root = ![\sqrt[7]{}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%7D)
∵ x to the third power = x³
∴ seventh root of x to the third power = ![\sqrt[7]{x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B3%7D%7D)
Let us change it to the rational exponent
∵ ![\sqrt[m]{x^{n}}=x^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%7D%3Dx%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
∵ ![\sqrt[7]{x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B3%7D%7D)
∴ m = 7 and n = 3
∴
= 
∵
is x to the three sevenths power
∴
is x to the three sevenths power
The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power
Learn more:
You can learn more about radical equation is brainly.com/question/7153188
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the answer is x=-4 hope it helps
Answer:
Step-by-step explanation:
Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.
The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).
Answer:
70
Step-by-step explanation:
Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days