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Laws of Exponents. By Chancy Nordick. Review. What exactly is a power function again?. A power function has two parts:. Exponent. Base. Review Continued. Where. And. Multiplication Laws. What if we want to multiply two power functions?. Example:. Multiplication Laws. In General.
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Laws of Exponents By Chancy Nordick
Review What exactly is a power function again? A power function has two parts: Exponent Base
Review Continued Where And
Multiplication Laws What if we want to multiply two power functions? Example:
Multiplication Laws In General Note: Bases must be the same!
First Law • xm*xn = xm+n • Notice that the bases have to be the same. • Find x2*x3 • Find x3y*x4y7 • Find z2x5y9*zx7y4
Multiplication Laws Now, what about powers of powers? Example:
Multiplication Laws In General
The Third law • (xm)n = xmn • Find (x4)5 • Find (x3y9)8 • Find (2x3y4)3
Multiplication Laws Finally, how do I deal with powers of a product? Example
Multiplication Laws In General
Second Law • (xy)m = xmym • The base does not have to be the same here. • Find (xy)7 • Find (xy)5 • Find (2x)3
We’re done…. With the multiplication laws, before We go on….
Onward! to the division laws
Division Laws Example
Division Laws In General
The Fourth Law • xm/xn = xm-n • The base has to be the same. • Find x5/x3 • Find x3y2/x2y
Division Laws Similar to Multiplication
Division Laws In General
Laws of Exponents Compute: 25 Answer: 32
Laws of Exponents Compute: 5-2 Answer: 1/25
Laws of Exponents Compute: 02 Answer: 0
Laws of Exponents Compute: 20 Answer: 1
Laws of Exponents Compute: 00 Answer: ??
Laws of Exponents Compute: - 42 Answer: -16
Laws of Exponents Compute: (-4)2 Answer: 16
Laws of Exponents Compute: - 4-2 Answer: - 1/16
Laws of Exponents Compute: 0.125-2 Answer: 64
Laws of Exponents Compute: (45 )(42) Answer: 47 or 16,384
Laws of Exponents Compute: (45 )2 Answer: 410 or 10,485,676
Laws of Exponents What is one-third of 399 ? Answer: 398