this a ppt on laws of exponents. you can all about laws of exponents in this ppt. grade-6 to grade-9 can see this and improve their knowledge.there are many types of laws in expnent

1. MATHS PROJECT
EXPONENTS AND
POWERS
MADE BY :A.SAMUEL PRABHU
DASS

4. LAW I:PRODUCT LAW
Examples:
1)x4 · x5 = x4+5 = x9
2)55 · 58 = 55+8 = 513
3)a7 · a · a12 = a7+1+12 = a20
4) (3x6)(2x4) = (3·2)x6+4= 6x10
am · an = am+n (when
multiplying like bases, add the
powers)

5. LAW II: QUOTIENT LAW
AM= AM - N (WHEN DIVIDING WITH LIKE BASES, SUBTRACT THE POWER)
AN (NOTE: IT IS ALWAYS THE NUMERATOR'S POWER MINUS THE
DENOMINATOR'S POWER)
Example:
1) x6 ÷ x4 = x2

6. LAW III:POWER LAW
(ambm)n = amnbmn
(when taking a monomial to a power, multiply the
powers including the coefficient)
EXAMPLES
1) (a4b3)2 = a8b6
2) (3m2n5)4 = 34m8n20 = 81m8n20
3) (-2xy7z2)5 = (-2)5x5y35z10 = -32x5y35z10

7. POWERS WITH DIFFERENT BASE

8. ZERO POWER RULE
a0 = 1 (any term to the zero power is one)
Examples:
1) (m5 n7)0 = 1
2) (4m8n2)(-2mn4)0 = (4m8n2)(1) = 4m8n2

9. NEGATIVE POWER RULE
a-n = 1 and 1 =an (take the reciprocal of the variable to the
negative power) NOTE: Apply the negative power rule to only
negative POWERS