Answer:
[tex] \frac{1}{ {25}^{1.5} {b}^{9} } [/tex]
Step-by-step explanation:
Use the negative power rule:
[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]
[tex] \frac{1}{(25 {b}^{6})^{1.5} } [/tex]
Use multiplication Distributive Property: (xy)^a = x^a y^a.
[tex] \frac{1}{ {25}^{1.5}( {b}^{6}) ^{1.5} } [/tex]
Use power rule: (x^a)^b = x^ab.
[tex] \frac{1}{ {25}^{1.5} {b}^{9} } [/tex]
Therefor, the answer is 1/25^1.5 b^9
