Simplify (j^-13)(j^4)(j^6)

$(j^{- 13}) (j^{4}) (j^{6})$

Step 1

Multiply $j^{- 13}$ by $j^{4}$ by adding the exponents.

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

$j^{- 13 + 4} j^{6}$

Add $- 13$ and $4$ .

$j^{- 9} j^{6}$

Step 2

Multiply $j^{- 9}$ by $j^{6}$ by adding the exponents.

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

$j^{- 9 + 6}$

Add $- 9$ and $6$ .

$j^{- 3}$

Step 3

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

$\frac{1}{j^{3}}$