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Question
m^{3}\times \frac{9018}{4}-33
Simplify the expression
\frac{4509}{2}m^{3}-33
Evaluate
m^{3}\times \frac{9018}{4}-33
\text{Cancel out the common factor }2
m^{3}\times \frac{4509}{2}-33
Solution
\frac{4509}{2}m^{3}-33
Show Solutions
Factor the expression
\frac{3}{2}\left(1503m^{3}-22\right)
Evaluate
m^{3}\times \frac{9018}{4}-33
\text{Cancel out the common factor }2
m^{3}\times \frac{4509}{2}-33
Use the commutative property to reorder the terms
\frac{4509}{2}m^{3}-33
Solution
\frac{3}{2}\left(1503m^{3}-22\right)
Show Solutions
Find the roots
m=\frac{\sqrt[3]{22\times 1503^{2}}}{1503}
Alternative Form
m\approx 0.244618
Evaluate
m^{3}\times \frac{9018}{4}-33
To find the roots of the expression,set the expression equal to 0
m^{3}\times \frac{9018}{4}-33=0
\text{Cancel out the common factor }2
m^{3}\times \frac{4509}{2}-33=0
Use the commutative property to reorder the terms
\frac{4509}{2}m^{3}-33=0
Move the constant to the right-hand side and change its sign
\frac{4509}{2}m^{3}=0+33
Removing 0 doesn't change the value,so remove it from the expression
\frac{4509}{2}m^{3}=33
Multiply by the reciprocal
\frac{4509}{2}m^{3}\times \frac{2}{4509}=33\times \frac{2}{4509}
Multiply
m^{3}=33\times \frac{2}{4509}
Multiply
More Steps
Evaluate
33\times \frac{2}{4509}
Reduce the numbers
11\times \frac{2}{1503}
Multiply the numbers
\frac{11\times 2}{1503}
Multiply the numbers
\frac{22}{1503}
m^{3}=\frac{22}{1503}
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{m^{3}}=\sqrt[3]{\frac{22}{1503}}
Calculate
m=\sqrt[3]{\frac{22}{1503}}
Solution
More Steps
Evaluate
\sqrt[3]{\frac{22}{1503}}
To take a root of a fraction,take the root of the numerator and denominator separately
\frac{\sqrt[3]{22}}{\sqrt[3]{1503}}
Multiply by the Conjugate
\frac{\sqrt[3]{22}\times \sqrt[3]{1503^{2}}}{\sqrt[3]{1503}\times \sqrt[3]{1503^{2}}}
The product of roots with the same index is equal to the root of the product
\frac{\sqrt[3]{22\times 1503^{2}}}{\sqrt[3]{1503}\times \sqrt[3]{1503^{2}}}
Multiply the numbers
More Steps
Evaluate
\sqrt[3]{1503}\times \sqrt[3]{1503^{2}}
The product of roots with the same index is equal to the root of the product
\sqrt[3]{1503\times 1503^{2}}
Calculate the product
\sqrt[3]{1503^{3}}
\text{Reduce the index of the radical and exponent with }3
1503
\frac{\sqrt[3]{22\times 1503^{2}}}{1503}
m=\frac{\sqrt[3]{22\times 1503^{2}}}{1503}
Alternative Form
m\approx 0.244618
Show Solutions
