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Question
p^{5}\times 4068-1
Simplify the expression
4068p^{5}-1
Evaluate
p^{5}\times 4068-1
Solution
4068p^{5}-1
Show Solutions
Find the roots
p=\frac{\sqrt[5]{4068^{4}}}{4068}
Alternative Form
p\approx 0.189725
Evaluate
p^{5}\times 4068-1
To find the roots of the expression,set the expression equal to 0
p^{5}\times 4068-1=0
Use the commutative property to reorder the terms
4068p^{5}-1=0
Move the constant to the right-hand side and change its sign
4068p^{5}=0+1
Removing 0 doesn't change the value,so remove it from the expression
4068p^{5}=1
Divide both sides
\frac{4068p^{5}}{4068}=\frac{1}{4068}
Divide the numbers
p^{5}=\frac{1}{4068}
\text{Take the }5\text{-th root on both sides of the equation}
\sqrt[5]{p^{5}}=\sqrt[5]{\frac{1}{4068}}
Calculate
p=\sqrt[5]{\frac{1}{4068}}
Solution
More Steps
Evaluate
\sqrt[5]{\frac{1}{4068}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[5]{1}}{\sqrt[5]{4068}}
Simplify the radical expression
\frac{1}{\sqrt[5]{4068}}
Multiply by the Conjugate
\frac{\sqrt[5]{4068^{4}}}{\sqrt[5]{4068}\times \sqrt[5]{4068^{4}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[5]{4068}\times \sqrt[5]{4068^{4}}
The product of roots with the same index is equal to the root of the product
\sqrt[5]{4068\times 4068^{4}}
Calculate the product
\sqrt[5]{4068^{5}}
\text{Reduce the index of the radical and exponent with }5
4068
\frac{\sqrt[5]{4068^{4}}}{4068}
p=\frac{\sqrt[5]{4068^{4}}}{4068}
Alternative Form
p\approx 0.189725
Show Solutions
