reese4232
07.10.2019 •
Mathematics
Describe how to transform:
(6radicalx^5)^7
into an expression with a rational exponent. make sure you
respond with complete sentences. (10 points)
i’ll vote you brainliest : )
Solved
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Ответ:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
" alt="(\sqrt[6]{x^5})^7=(x^\frac{5}{6})^7=x^\frac{35}{6}" />" />
An use again the property for the exponent of a exponent:
Ответ:
33
step-by-step explanation: g=6