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
∵
∵
∴ 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
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Answer:
the answer will be 21/50
Step-by-step explanation:
Convert to a fraction by placing the expression over 100
21/50
Answer:
198.6 with the remaining 6
Step-by-step explanation:
596/3
596/3 = 198.666666667 as a decimal form
596/3 = 198.67 in 2 decimal places
596/3 = 198.7 to the nearest tenth
596/3 = 198.67 to the nearest hundredth
596/3 = 198.667 to the nearest thousandth
Answer:
Both sides of the equation are equal to each other.
Step-by-step explanation:
½ (8x+4) = ¼ (8+16x)
(1/2*8x) + (1/2*4) = (1/4*8) + (1/4*16x)
4x + 2 = 2 + 4x
(4x - 4x) + 2 = 2 (+ 4x - 4x)
2 = 2
Answer:
B. 55.10
Step-by-step explanation:
Given:
1 pair of Shoes for 1st year = $50
2 pair of Sock for 1st year = $2 each = 2
2= $4
CPI for year 1 = Price of shoes for 1st year + Price of Sock for 1st year= $50 + $4 = $54
Now
1 pair of Shoes for 2nd year = $51
2 pair of Sock for 2nd year = $2.05 each = 2 2.05 =$4.10
CPI for Year 2 = Price of shoes for 2nd year + Price of Sock for 2nd year= $51 + $4.1 = $55.10
Hence CPI for Year 2 is $55.10
