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Question
p^{4}\times 532-69000
Simplify the expression
532p^{4}-69000
Evaluate
p^{4}\times 532-69000
Solution
532p^{4}-69000
Show Solutions
Factor the expression
4\left(133p^{4}-17250\right)
Evaluate
p^{4}\times 532-69000
Use the commutative property to reorder the terms
532p^{4}-69000
Solution
4\left(133p^{4}-17250\right)
Show Solutions
Find the roots
p_{1}=-\frac{\sqrt[4]{17250\times 133^{3}}}{133},p_{2}=\frac{\sqrt[4]{17250\times 133^{3}}}{133}
Alternative Form
p_{1}\approx -3.374694,p_{2}\approx 3.374694
Evaluate
p^{4}\times 532-69000
To find the roots of the expression,set the expression equal to 0
p^{4}\times 532-69000=0
Use the commutative property to reorder the terms
532p^{4}-69000=0
Move the constant to the right-hand side and change its sign
532p^{4}=0+69000
Removing 0 doesn't change the value,so remove it from the expression
532p^{4}=69000
Divide both sides
\frac{532p^{4}}{532}=\frac{69000}{532}
Divide the numbers
p^{4}=\frac{69000}{532}
\text{Cancel out the common factor }4
p^{4}=\frac{17250}{133}
Take the root of both sides of the equation and remember to use both positive and negative roots
p=\pm \sqrt[4]{\frac{17250}{133}}
Simplify the expression
More Steps
Evaluate
\sqrt[4]{\frac{17250}{133}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[4]{17250}}{\sqrt[4]{133}}
Multiply by the Conjugate
\frac{\sqrt[4]{17250}\times \sqrt[4]{133^{3}}}{\sqrt[4]{133}\times \sqrt[4]{133^{3}}}
The product of roots with the same index is equal to the root of the product
\frac{\sqrt[4]{17250\times 133^{3}}}{\sqrt[4]{133}\times \sqrt[4]{133^{3}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[4]{133}\times \sqrt[4]{133^{3}}
The product of roots with the same index is equal to the root of the product
\sqrt[4]{133\times 133^{3}}
Calculate the product
\sqrt[4]{133^{4}}
\text{Reduce the index of the radical and exponent with }4
133
\frac{\sqrt[4]{17250\times 133^{3}}}{133}
p=\pm \frac{\sqrt[4]{17250\times 133^{3}}}{133}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&p=\frac{\sqrt[4]{17250\times 133^{3}}}{133}\\&p=-\frac{\sqrt[4]{17250\times 133^{3}}}{133}\end{align}
Solution
p_{1}=-\frac{\sqrt[4]{17250\times 133^{3}}}{133},p_{2}=\frac{\sqrt[4]{17250\times 133^{3}}}{133}
Alternative Form
p_{1}\approx -3.374694,p_{2}\approx 3.374694
Show Solutions
