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Question
p^{3}\times 7647-1
Simplify the expression
7647p^{3}-1
Evaluate
p^{3}\times 7647-1
Solution
7647p^{3}-1
Show Solutions
Find the roots
p=\frac{\sqrt[3]{7647^{2}}}{7647}
Alternative Form
p\approx 0.050758
Evaluate
p^{3}\times 7647-1
To find the roots of the expression,set the expression equal to 0
p^{3}\times 7647-1=0
Use the commutative property to reorder the terms
7647p^{3}-1=0
Move the constant to the right-hand side and change its sign
7647p^{3}=0+1
Removing 0 doesn't change the value,so remove it from the expression
7647p^{3}=1
Divide both sides
\frac{7647p^{3}}{7647}=\frac{1}{7647}
Divide the numbers
p^{3}=\frac{1}{7647}
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{p^{3}}=\sqrt[3]{\frac{1}{7647}}
Calculate
p=\sqrt[3]{\frac{1}{7647}}
Solution
More Steps
Evaluate
\sqrt[3]{\frac{1}{7647}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[3]{1}}{\sqrt[3]{7647}}
Simplify the radical expression
\frac{1}{\sqrt[3]{7647}}
Multiply by the Conjugate
\frac{\sqrt[3]{7647^{2}}}{\sqrt[3]{7647}\times \sqrt[3]{7647^{2}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[3]{7647}\times \sqrt[3]{7647^{2}}
The product of roots with the same index is equal to the root of the product
\sqrt[3]{7647\times 7647^{2}}
Calculate the product
\sqrt[3]{7647^{3}}
\text{Reduce the index of the radical and exponent with }3
7647
\frac{\sqrt[3]{7647^{2}}}{7647}
p=\frac{\sqrt[3]{7647^{2}}}{7647}
Alternative Form
p\approx 0.050758
Show Solutions
