Solved example of equations with cubic roots
Removing the variable's exponent raising both sides of the equation to the power of $3$
Divide $1$ by $\frac{1}{3}$
Divide $1$ by $\frac{1}{3}$
Calculate the power ${\left(-4\right)}^{3}$
Removing the variable's exponent raising both sides of the equation to the power of $3$
The power of a product is equal to the product of it's factors raised to the same power
Calculate the power $2^{3}$
Simplify $\left(\sqrt[3]{7b-1}\right)^{3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{3}$ and $n$ equals $3$
Multiply $\frac{1}{3}$ times $3$
Multiply $\frac{1}{3}$ times $3$
The power of a product is equal to the product of it's factors raised to the same power
Divide both sides of the equation by $8$
Simplifying the quotients
Divide $-64$ by $8$
We need to isolate the dependent variable $b$, we can do that by simultaneously subtracting $-1$ from both sides of the equation
Multiply $-1$ times $-1$
Subtract the values $1$ and $-8$
Divide both sides of the equation by $7$
Simplifying the quotients
Divide $-7$ by $7$
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