Question

Simplify -3d^8(-4d^-14) . Assume d=/0 .

Answer 1

`12d^(-6)`

Explanation:

The given expression is

`-3d^(8)(-4d^(-14))`

To simplify this expression, we have to apply the exponent property which states that power with similar base can be simplified by adding their exponents. As it follows

`-3d^(8)(-4d^(-14))=12d^(8-14)=12d^(-6)`

Therefore, the simplified expression is

`12d^(-6)`

Answer 2

`\text{Use}\ a^n\cdot a^m=a^(n+m)\\\\-3d^8(-4d^(-14))=(-3)(-4)d^(8+(-14))=12d^(-6)`