Algebra Examples

$(3 m^{4} n^{6}) {(2 m n)}^{0}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $2 m n$ .

$3 m^{4} n^{6} ({(2 m)}^{0} n^{0})$

Step 1.2

Apply the product rule to $2 m$ .

$3 m^{4} n^{6} (2^{0} m^{0} n^{0})$

Step 2

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

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Step 2.1

Move $m^{0}$ .

$3 (m^{0} m^{4}) n^{6} (2^{0} n^{0})$

Step 2.2

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

$3 m^{0 + 4} n^{6} (2^{0} n^{0})$

Step 2.3

Add $0$ and $4$ .

$3 m^{4} n^{6} (2^{0} n^{0})$

Step 3

Simplify $3 m^{4} n^{6} (2^{0} n^{0})$ .

$3 m^{4} n^{6}$