Question

Simplify a raised to the negative third power over quantity 2 times b raised to the fourth power end quantity all cubed.

Answer 1

`(1 )/(8*a^(9)*b^(12))`.

Explanation:

1. Write the expression.

`((a^(-3) )/(2b^(4) ) )^(3)`

2. Solve the parenthesis by multiplying the exponents with each part of the fraction.

`(a^((-3*3)) )/(2^((3)) b^((4*3)) ) \\ \\(a^((-9)) )/(8b^((12)) )\\ \\(a^(-9) )/(8b^(12) )`

3. Move a to the denominator (the negative sign of the exponent vanishes).

`(1 )/(8b^(12) *a^(9))\\ \\(1 )/(8*a^(9)*b^(12))`

4. Express your result.

`((a^(-3) )/(2b^(4) ) )^(3)=(1 )/(8*a^(9)*b^(12))`.