Finite Math Examples

$25.6 = k (4) {(4)}^{2}$

Step 1

Rewrite the equation as $k (4) \cdot 4^{2} = 25.6$ .

$k (4) \cdot 4^{2} = 25.6$

Step 2

Multiply $4$ by $4^{2}$ by adding the exponents.

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Step 2.1

Move $4^{2}$ .

$k (4^{2} \cdot 4) = 25.6$

Step 2.2

Multiply $4^{2}$ by $4$ .

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Step 2.2.1

Raise $4$ to the power of $1$ .

$k (4^{2} \cdot 4^{1}) = 25.6$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$k \cdot 4^{2 + 1} = 25.6$

Step 2.3

Add $2$ and $1$ .

$k \cdot 4^{3} = 25.6$

Step 3

Divide each term in $k \cdot 4^{3} = 25.6$ by $4^{3}$ and simplify.

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Step 3.1

Divide each term in $k \cdot 4^{3} = 25.6$ by $4^{3}$ .

$\frac{k \cdot 4^{3}}{4^{3}} = \frac{25.6}{4^{3}}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4^{3}$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{k \cdot 4^{3}}{4^{3}} = \frac{25.6}{4^{3}}$

Step 3.2.1.2

Divide $k$ by $1$ .

$k = \frac{25.6}{4^{3}}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Raise $4$ to the power of $3$ .

$k = \frac{25.6}{64}$

Step 3.3.2

Divide $25.6$ by $64$ .

$k = 0.4$