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2^3 - the 2 is the base, the 3 is the exponent, the whole expression is a power.

(-4)^3 = (-4)(-4)(-4)

-4^3 = -4 x 4 x 4

LAW OF EXPONENTS

Law of Exponent for Multiplication: When multiplying powers with equal bases, add the

exponents.

a^m x a^n = a^m+n

-5^4 x 5 = -(5^4+1) = -5^5

Law of Exponent for Division: When dividing powers with equal bases, subtract the

exponents.

a^m / a^n = a^m-n

Law of Exponent for Powers: When raising a power to an exponent, multiply the inner

exponent by the outer exponent.

(a^m)^n = a^mn

Law of Exponent for Power of products- when raising a product to a power, place the

exponent of the product on each factor

(xy)3 = (xy)(xy)(xy) = x3y3

Law of Exponents for Powers of quotent- when raising a quotient to a power, place

the exponent of the quotient on each of the terms.

(x/y)3 = (x/y)(x/y)(x/y) = x3/y3

ZERO AND NEGATIVE EXPONENTS

Zero Exponents- x^0 is 1 for all numbers except for 0^0, which is undefined.

Negative Exponents- x^ -a = 1/ x^a x^a = 1/ x^ -a

x ^ 1/n = n root of x

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