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Question
p^{6}\times 4858-1
Simplify the expression
4858p^{6}-1
Evaluate
p^{6}\times 4858-1
Solution
4858p^{6}-1
Show Solutions
Find the roots
p_{1}=-\frac{\sqrt[6]{4858^{5}}}{4858},p_{2}=\frac{\sqrt[6]{4858^{5}}}{4858}
Alternative Form
p_{1}\approx -0.242991,p_{2}\approx 0.242991
Evaluate
p^{6}\times 4858-1
To find the roots of the expression,set the expression equal to 0
p^{6}\times 4858-1=0
Use the commutative property to reorder the terms
4858p^{6}-1=0
Move the constant to the right-hand side and change its sign
4858p^{6}=0+1
Removing 0 doesn't change the value,so remove it from the expression
4858p^{6}=1
Divide both sides
\frac{4858p^{6}}{4858}=\frac{1}{4858}
Divide the numbers
p^{6}=\frac{1}{4858}
Take the root of both sides of the equation and remember to use both positive and negative roots
p=\pm \sqrt[6]{\frac{1}{4858}}
Simplify the expression
More Steps
Evaluate
\sqrt[6]{\frac{1}{4858}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[6]{1}}{\sqrt[6]{4858}}
Simplify the radical expression
\frac{1}{\sqrt[6]{4858}}
Multiply by the Conjugate
\frac{\sqrt[6]{4858^{5}}}{\sqrt[6]{4858}\times \sqrt[6]{4858^{5}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[6]{4858}\times \sqrt[6]{4858^{5}}
The product of roots with the same index is equal to the root of the product
\sqrt[6]{4858\times 4858^{5}}
Calculate the product
\sqrt[6]{4858^{6}}
\text{Reduce the index of the radical and exponent with }6
4858
\frac{\sqrt[6]{4858^{5}}}{4858}
p=\pm \frac{\sqrt[6]{4858^{5}}}{4858}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&p=\frac{\sqrt[6]{4858^{5}}}{4858}\\&p=-\frac{\sqrt[6]{4858^{5}}}{4858}\end{align}
Solution
p_{1}=-\frac{\sqrt[6]{4858^{5}}}{4858},p_{2}=\frac{\sqrt[6]{4858^{5}}}{4858}
Alternative Form
p_{1}\approx -0.242991,p_{2}\approx 0.242991
Show Solutions
