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Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The first thing to simplify is the Exponent
If The Exponent is a fraction than the denominator of the fraction will be the power of the root and the numerator will be the power of the expression
It will be in the form
![\sqrt[a]{ {x}^{b} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Ba%5D%7B%20%7Bx%7D%5E%7Bb%7D%20%7D)
Where a is the denominator and b is the numerator of the fraction
The first expression 216^1/3 will be
![\sqrt[3]{{216}^{1} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%7B216%7D%5E%7B1%7D%20%7D%20)
6×6×6=216 so the expression = 6
The second expression 125^1/3 will be
![\sqrt[3]{ {125}^{1} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7B125%7D%5E%7B1%7D%20%7D%20)
5×5×5=125 so the expression =5
216^1/3 - 125^1/3
6 - 5
1
So we have W/-1.3 (w over -1.3) then = -6.2
It would look like: W/-1.3 = -6.2
Put -6.2 over 1 so it looks like W/-1.3 = -6.2/1
Then cross multiply so W x 1 is W
-6.2 times -1.3 is 8.06
Therefore, W is 8.06
The system of equations to this graph is (1,1)
logb(x) = y is equivalent to b^y =x
y = 2
b = 5
x = 25
Substitute the values to get 5^2 = 25