Option 4: ![\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
is the right answer
Step-by-step explanation:
Given expression is:
In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number
so,
in case of 3/7, it will be broken down
The 1/7 will be converted into base of radical while 3 will be he exponent
![\sqrt[7]{(5x^3y^4)^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B%285x%5E3y%5E4%29%5E3%7D)
Multiplying exponents
![=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B5%5E3x%5E%7B3%2A3%7Dy%5E%7B4%2A3%7D%7D%5C%5C%3D%5Csqrt%5B7%5D%7B125x%5E9y%5E%7B12%7D%7D)
Hence,
Option 4: is the right answer
Keywords: Radicals, Exponents
Learn more about exponents at:
#LearnwithBrainly
(f - g)(x) = (3x² - 2x + 4) - (5x² + 6x - 8<span>)
</span>(f - g)(x) = 3x² - 2x + 4 - 5x² - 6x + 8
(f - g)(x) = -2x² - 8x + 12
Answer:
c² - 14cd + 49d²
Step-by-step explanation:
Given
(c - 7d)²
= (c - 7d)(c - 7d)
Each term in the second factor is multiplied by each term in the first factor, that is
c(c - 7d) - 7d(c - 7d) ← distribute both parenthesis
= c² - 7cd - 7cd + 49d² ← collect like terms
= c² - 14cd + 49d²
Answer:
z = - 1
Step-by-step explanation:
Given
- 18 = 9z - 9 ( add 9 to both sides )
- 9 = 9z ( divide both sides by 9 )
- 1 = z
