Algebra and General Mathematics: Laws of Exponents

Review notes in Laws of Exponents topic in Algebra and General Mathematics. This will help you prepare in taking the Engineering Board Exam or simply reviewing for your Algebra subject.

Algebra and General Mathematics: Laws of Exponents

LAWS OF EXPONENTS

1. Product Rule

xm · xn = m(x + n)

2. Quotient Rule

xm / xn = m(x – n)
(x/y)m = xm / ym

3. Power Rule

(xm)n = xmn
(xy)m = xmym

4. Negative Exponent Rule

x-n = 1 / xn , x ≠ 0

5. Expanded Power Rule

(ax)m / (by)n = (amxm) / (bnyn)
[ (xm)n ]p = xmnp
x(m/n) = n√xm
(n√x) (n√y) = n√(xy)

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