Question

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

Answer 1

`\frac{1}{ {25}^(1.5) {b}^(9) }`

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