Algebra Examples

$\frac{4^{2}}{4^{0} \cdot 4^{- 1}}$

Step 1

Multiply $4^{0}$ by $4^{- 1}$ by adding the exponents.

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Step 1.1

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

$\frac{4^{2}}{4^{0 - 1}}$

Step 1.2

Subtract $1$ from $0$ .

$\frac{4^{2}}{4^{- 1}}$

Step 2

Move $4^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$4^{2} \cdot 4$

Step 3

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

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Step 3.1

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

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Step 3.1.1

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

$4^{2} \cdot 4^{1}$

Step 3.1.2

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

$4^{2 + 1}$

Step 3.2

Add $2$ and $1$ .

$4^{3}$

Step 4

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

$64$