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Question
T^{3}\times 5-300-500
Simplify the expression
5T^{3}-800
Evaluate
T^{3}\times 5-300-500
Use the commutative property to reorder the terms
5T^{3}-300-500
Solution
5T^{3}-800
Show Solutions
Factor the expression
5\left(T^{3}-160\right)
Evaluate
T^{3}\times 5-300-500
Use the commutative property to reorder the terms
5T^{3}-300-500
Subtract the numbers
5T^{3}-800
Solution
5\left(T^{3}-160\right)
Show Solutions
Find the roots
T=2\sqrt[3]{20}
Alternative Form
T\approx 5.428835
Evaluate
T^{3}\times 5-300-500
To find the roots of the expression,set the expression equal to 0
T^{3}\times 5-300-500=0
Use the commutative property to reorder the terms
5T^{3}-300-500=0
Subtract the numbers
5T^{3}-800=0
Move the constant to the right-hand side and change its sign
5T^{3}=0+800
Removing 0 doesn't change the value,so remove it from the expression
5T^{3}=800
Divide both sides
\frac{5T^{3}}{5}=\frac{800}{5}
Divide the numbers
T^{3}=\frac{800}{5}
Divide the numbers
More Steps
Evaluate
\frac{800}{5}
Reduce the numbers
\frac{160}{1}
Calculate
160
T^{3}=160
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{T^{3}}=\sqrt[3]{160}
Calculate
T=\sqrt[3]{160}
Solution
More Steps
Evaluate
\sqrt[3]{160}
Write the expression as a product where the root of one of the factors can be evaluated
\sqrt[3]{8\times 20}
\text{Write the number in exponential form with the base of }2
\sqrt[3]{2^{3}\times 20}
The root of a product is equal to the product of the roots of each factor
\sqrt[3]{2^{3}}\times \sqrt[3]{20}
\text{Reduce the index of the radical and exponent with }3
2\sqrt[3]{20}
T=2\sqrt[3]{20}
Alternative Form
T\approx 5.428835
Show Solutions
