Question

Simplify. Write the expression using only positive exponents. 3d^−4⋅4d^4 PPPLLLLEEEASSSEEEEE

Answer 1

Answer:

d=0

Step-by-step explanation:

Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:

(3 x 4) x (d^-4 x d^4)

The first term is easy enough: (3 x 4) = 12

For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.

So, if d equals any number other than zero, the expression becomes

(12) x (1) = 12

The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0