Negative Exponent

Negative Exponent

How to solve negative exponent problems: examples and their solutions.

Example 1

Simplify the given expression. (x ≠ 0) x^-2

If the exponent is (-),

then change the exponent's sign to (+)

and move the number
from the numerator to the denominator.

Example 2

Simplify the given expression. (a ≠ 0) 1/(a^-3)

By the same way,
if the exponent is (-),

then change the exponent's sign to (+)

and move the number
from the denominator to the numerator.

Example 3

Simplify the given expression. (p, q ≠ 0) (2(p^-5)(q^7))/((2^-3)(p^2)(q^-1))

By using the property you've seen in the last example,
gather the same exponent numbers
into one place.
(either into the numerator or the denominator)

Then simplify it.

Product of powers