Question

How do you simplify (25b^6)^-1.5

Answer 1

Answer:

$\frac{1}{ {25}^{1.5} {b}^{9} }$

Step-by-step explanation:

Use the negative power rule:

${x}^{ - a} = \frac{1}{ {x}^{a} }$

$\frac{1}{(25 {b}^{6})^{1.5} }$

Use multiplication Distributive Property: (xy)^a = x^a y^a.

$\frac{1}{ {25}^{1.5}( {b}^{6}) ^{1.5} }$

Use power rule: (x^a)^b = x^ab.

$\frac{1}{ {25}^{1.5} {b}^{9} }$

Therefor, the answer is 1/25^1.5 b^9