Algebra Examples

$\frac{m^{7} n^{3}}{m n^{- 1}}$ , $m = 0$ , $n = 0$

Step 1

Replace the variable $m$ with $0$ in the expression.

$\frac{{(0)}^{7} n^{3}}{(0) \cdot n^{- 1}}$

Step 2

Replace the variable $n$ with $0$ in the expression.

$\frac{{(0)}^{7} {(0)}^{3}}{(0) \cdot {(0)}^{- 1}}$

Step 3

Move ${(0)}^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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Step 3.1

Multiply $0$ by ${(0)}^{- 1}$ .

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Step 3.1.1

Raise $0$ to the power of $1$ .

$\frac{{(0)}^{7} {(0)}^{3} \cdot 0^{1}}{0^{1} \cdot {(0)}^{- 1} \cdot 0^{1}}$

Step 3.1.2

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

$\frac{{(0)}^{7} {(0)}^{3} \cdot 0^{1}}{0^{1 - 1} \cdot 0^{1}}$

Step 3.2

Subtract $1$ from $1$ .

$\frac{{(0)}^{7} {(0)}^{3} \cdot 0^{1}}{0^{0} \cdot 0^{1}}$

Step 3.3

Zero to the zero power is undefined.

Undefined

$\frac{{(0)}^{7} {(0)}^{3} \cdot 0^{1}}{0^{0} \cdot 0^{1}}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply ${(0)}^{7}$ by ${(0)}^{3}$ by adding the exponents.

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Step 4.1.1

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

$\frac{0^{7 + 3} \cdot 0^{1}}{0^{0} \cdot 0^{1}}$

Step 4.1.2

Add $7$ and $3$ .

$\frac{0^{10} \cdot 0^{1}}{0^{0} \cdot 0^{1}}$

Step 4.1.3

Zero to the zero power is undefined.

Undefined

$\frac{0^{10} \cdot 0^{1}}{0^{0} \cdot 0^{1}}$

Step 4.2

Multiply $0^{10}$ by $0^{1}$ by adding the exponents.

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Step 4.2.1

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

$\frac{0^{10 + 1}}{0^{0} \cdot 0^{1}}$

Step 4.2.2

Add $10$ and $1$ .

$\frac{0^{11}}{0^{0} \cdot 0^{1}}$

Step 4.2.3

Zero to the zero power is undefined.

Undefined

$\frac{0^{11}}{0^{0} \cdot 0^{1}}$

Step 4.3

Zero to the zero power is undefined.

Undefined

$\frac{0^{11}}{0^{0} \cdot 0^{1}}$

Step 5

Zero to the zero power is undefined.

Undefined