EXPONENTS AND NEGATIVE NUMBERS

ZERO POWER RULE;

ANY NUMBER RAISED TO THE ZERO POWER EQUALS 1; ANY NUMBER RAISED TO THE ZERO POWER EQUALS 1;

REMEMBER;

NEGATIVE NUMBER WITH EVEN POWER IS POSITIVE; NEGATIVE NUMBER WITH ODD POWER IS NEGATIVE; NEGATIVE NUMBER WITH EVEN POWER IS POSITIVE; NEGATIVE NUMBER WITH ODD POWER IS NEGATIVE

RULE: ANYTIME YOU RAISE A NEGATIVE

NUMBER TO THE THIRD POWER OR CUBED IT IS ALWAYS NEGATIVE! -3(³) cubed -3x−3x−3 ∨ ∨ +9x−3 = −27 -3x−3 = +9 same sign positive then multiply +9 to last −3 +9x−3 = −27 opposite signs negative

RULE: A NEGATIVE NUMBER RAISED

TO AN EVEN POWER IS ALWAYS A POSITIVE NUMBER!! A NEGATIVE NUMBER RAISED TO AN EVEN POWER IS ALWAYS A POSITIVE NUMBER!!

RULE; A NEGATIVE NUMER RAISED

TO AN ODD POWER IS ALWAYS A NEGATIVE NUMBER. A NEGATIVE NUMBER RAISED TO AN ODD POWER IS ALWAYS NEGATIVE.

Exponents can be used

with negative numbers; -2(²) squared is; -2 x −2 = 4 -3(²) squared is -3x−3 = 9 REMEMBER; in multiplication of integers: RULE; SAME SIGN POSITIVE OPPOSITE SIGNS NEGATIVE