Question

(-2b⁶c⁻⁵)⁴ Write your answer using only positive expression.

Answer 1

To write the expression (-2b⁶c⁻⁵)⁴ using only positive exponents, we first multiply each exponent by 4. Then, we simplify each part separately and put it back together.

Step-by-step explanation:

To write the expression (-2b⁶c⁻⁵)⁴ using only positive exponents, we need to multiply each exponent by 4. This gives us (-2)⁴ * (b⁶)⁴ * (c⁻⁵)⁴. Let's simplify each part separately:

1. The negative sign in (-2)⁴ becomes positive, so we have 2⁴.
2. The exponent 6 in (b⁶)⁴ is multiplied by 4, resulting in b²⁴.
3. The exponent -5 in (c⁻⁵)⁴ is multiplied by 4, giving us c⁻²⁰.

Putting it all together, the expression (-2b⁶c⁻⁵)⁴, with positive exponents, becomes 2⁴ * b²⁴ * c⁻²⁰.