Finite Math Examples

$(4 n^{5 y^{2}}) (- 6 n^{2 y^{- 5}})$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot - 6 n^{5 y^{2}} n^{2 y^{- 5}}$

Step 2

Multiply $n^{5 y^{2}}$ by $n^{2 y^{- 5}}$ by adding the exponents.

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Step 2.1

Move $n^{2 y^{- 5}}$ .

$4 \cdot - 6 (n^{2 y^{- 5}} n^{5 y^{2}})$

Step 2.2

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

$4 \cdot - 6 n^{2 y^{- 5} + 5 y^{2}}$

Step 2.3

Simplify each term.

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Step 2.3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$4 \cdot - 6 n^{2 \frac{1}{y^{5}} + 5 y^{2}}$

Step 2.3.2

Combine $2$ and $\frac{1}{y^{5}}$ .

$4 \cdot - 6 n^{\frac{2}{y^{5}} + 5 y^{2}}$

Step 3

Multiply $4$ by $- 6$ .

$- 24 n^{\frac{2}{y^{5}} + 5 y^{2}}$