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Question
p^{4}\times 4450-1
Simplify the expression
4450p^{4}-1
Evaluate
p^{4}\times 4450-1
Solution
4450p^{4}-1
Show Solutions
Find the roots
p_{1}=-\frac{\sqrt[4]{4450^{3}}}{4450},p_{2}=\frac{\sqrt[4]{4450^{3}}}{4450}
Alternative Form
p_{1}\approx -0.122436,p_{2}\approx 0.122436
Evaluate
p^{4}\times 4450-1
To find the roots of the expression,set the expression equal to 0
p^{4}\times 4450-1=0
Use the commutative property to reorder the terms
4450p^{4}-1=0
Move the constant to the right-hand side and change its sign
4450p^{4}=0+1
Removing 0 doesn't change the value,so remove it from the expression
4450p^{4}=1
Divide both sides
\frac{4450p^{4}}{4450}=\frac{1}{4450}
Divide the numbers
p^{4}=\frac{1}{4450}
Take the root of both sides of the equation and remember to use both positive and negative roots
p=\pm \sqrt[4]{\frac{1}{4450}}
Simplify the expression
More Steps
Evaluate
\sqrt[4]{\frac{1}{4450}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[4]{1}}{\sqrt[4]{4450}}
Simplify the radical expression
\frac{1}{\sqrt[4]{4450}}
Multiply by the Conjugate
\frac{\sqrt[4]{4450^{3}}}{\sqrt[4]{4450}\times \sqrt[4]{4450^{3}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[4]{4450}\times \sqrt[4]{4450^{3}}
The product of roots with the same index is equal to the root of the product
\sqrt[4]{4450\times 4450^{3}}
Calculate the product
\sqrt[4]{4450^{4}}
\text{Reduce the index of the radical and exponent with }4
4450
\frac{\sqrt[4]{4450^{3}}}{4450}
p=\pm \frac{\sqrt[4]{4450^{3}}}{4450}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&p=\frac{\sqrt[4]{4450^{3}}}{4450}\\&p=-\frac{\sqrt[4]{4450^{3}}}{4450}\end{align}
Solution
p_{1}=-\frac{\sqrt[4]{4450^{3}}}{4450},p_{2}=\frac{\sqrt[4]{4450^{3}}}{4450}
Alternative Form
p_{1}\approx -0.122436,p_{2}\approx 0.122436
Show Solutions
