Basic Math Examples

${(5 c + 4)}^{\frac{1}{3}} + 1 = 3$

Step 1

Move all terms not containing $c$ to the right side of the equation.

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Step 1.1

Subtract $1$ from both sides of the equation.

${(5 c + 4)}^{\frac{1}{3}} = 3 - 1$

Step 1.2

Subtract $1$ from $3$ .

${(5 c + 4)}^{\frac{1}{3}} = 2$

Step 2

Raise each side of the equation to the power of $3$ to eliminate the fractional exponent on the left side.

${({(5 c + 4)}^{\frac{1}{3}})}^{3} = 2^{3}$

Step 3

Simplify the exponent.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify ${({(5 c + 4)}^{\frac{1}{3}})}^{3}$ .

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Step 3.1.1.1

Multiply the exponents in ${({(5 c + 4)}^{\frac{1}{3}})}^{3}$ .

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Step 3.1.1.1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(5 c + 4)}^{\frac{1}{3} \cdot 3} = 2^{3}$

Step 3.1.1.1.2

Cancel the common factor of $3$ .

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Step 3.1.1.1.2.1

Cancel the common factor.

${(5 c + 4)}^{\frac{1}{3} \cdot 3} = 2^{3}$

Step 3.1.1.1.2.2

Rewrite the expression.

${(5 c + 4)}^{1} = 2^{3}$

Step 3.1.1.2

Simplify.

$5 c + 4 = 2^{3}$

Step 3.2

Simplify the right side.

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Step 3.2.1

Raise $2$ to the power of $3$ .

$5 c + 4 = 8$

Step 4

Solve for $c$ .

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Step 4.1

Move all terms not containing $c$ to the right side of the equation.

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Step 4.1.1

Subtract $4$ from both sides of the equation.

$5 c = 8 - 4$

Step 4.1.2

Subtract $4$ from $8$ .

$5 c = 4$

Step 4.2

Divide each term in $5 c = 4$ by $5$ and simplify.

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Step 4.2.1

Divide each term in $5 c = 4$ by $5$ .

$\frac{5 c}{5} = \frac{4}{5}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $5$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{5 c}{5} = \frac{4}{5}$

Step 4.2.2.1.2

Divide $c$ by $1$ .

$c = \frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$c = \frac{4}{5}$

Decimal Form:

$c = 0.8$