simplify 21v^-6/(-7v^-6)

To simplify the expression 21v^-6/(-7v^-6), multiply the numerator and denominator by -1 to change the sign of the expression in the denominator:

21v^-6 * (-1) / (-7v^-6 * -1).

Simplifying further:

-21v^-6 / 7v^-6.

Dividing both the numerator and denominator by 7:

-3v^-6 / v^-6.

Since we have the same base (v) with negative exponents, we can simplify further by subtracting the exponents:

-3v^(-6 - (-6)).

-3v^0.

Any number raised to the power of 0 is equal to 1, so the final result is:

-3(1) = -3.