Simplify -7n^-4*5n^-2

$- 7 n^{- 4} \cdot 5 n^{- 2}$

Rewrite using the commutative property of multiplication.

$- 7 \cdot 5 n^{- 4} n^{- 2}$

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

Move $n^{- 2}$ .

$- 7 \cdot 5 (n^{- 2} n^{- 4})$

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

$- 7 \cdot 5 n^{- 2 - 4}$

Subtract $4$ from $- 2$ .

$- 7 \cdot 5 n^{- 6}$

Multiply $- 7$ by $5$ .

$- 35 n^{- 6}$

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

$- 35 \frac{1}{n^{6}}$

Combine $- 35$ and $\frac{1}{n^{6}}$ .

$\frac{- 35}{n^{6}}$

Move the negative in front of the fraction.

$- \frac{35}{n^{6}}$