Answer:
[tex] \frac{1}{w {}^{6} } [/tex]
Step-by-step explanation:
[tex] {w}^{3} \times w {}^{ - 9} [/tex]
equal
[tex]w {}^{ - 6} [/tex]
Using the product of power rule,
[tex] {x}^{a } \times x {}^{e} = x {}^{a + e} [/tex]
Then apply negative power rule
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
So it now becomes
[tex] \frac{1}{w {}^{6} } [/tex]