Powers
Powers with an Integer Exponent
Powers with a Fractional Exponent
Properties
1, a0 = 1
2 a1 = a
3. Multiplication of powers with the same base:
It is another power with the same base and whose exponent is the sum of the exponents.
am · a n = am+n
(−2)5 · (−2)2 = (−2)5+2 = (−2)7 = −128
4. Division of powers with the same base:
It is another power with the same base and the exponent is the difference between the exponents.
am : a n = am — n
(−2)5 : (−2)2 = (−2)5 — 2 = (−2)3 = −8
5. Power of a power:
It is another power with the same base and the exponent is the product of the exponents.
(am)n = am · n
[(−2)3]2 = (−2)6 = 64
6. Multiplication of powers with the same exponent:
It is another power with the same exponent, whose base is the product of the bases
an · b n = (a · b) n
(−2)3 · (3)3 = (−6)3 = −216
7. Division of powers with the same exponent :
It is another power with the same exponent, whose base is the quotient of the bases.
an : b n = (a : b) n
(−6)3 : 33 = (−2)3 = −8
Negative Exponents, Exponents Worksheets.
