3⁴ = 3 x 3 x 3 x 3​

​this one seems easy!

Exponents​

5³

​exponent

base

The Laws of Exponent

#1 Exponential Form : The exponent of a power indicates how many times the base multiplies itself.

​

n factors of x

Example: 5³​ = 5 * 5 * 5

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The Laws of Exponent

#2 Zero Law of Exponents: Any base powered by zero exponent equals one.

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​Example: x⁰​ = 1

The Laws of Exponent

#3 Multiplying Powers: If you re multiplying powers with the same base, keep the base and add the exponents.

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x^m​ * xⁿ = x^m+n

​Example: x⁵​ * x³ = x⁸

The Laws of Exponent

#4 Dividing Powers: When dividing powers with the same base. Keep the base and substract the exponents.

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x^m ∕ xⁿ = x^m ÷ xⁿ = x^m-n

​Example: x⁵​ ÷ x³ = x²

The Laws of Exponent

#5 Power of a Power: If you are raising a Power to an exponent, you multiply the exponent.

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(x^m)ⁿ = x^mn

​Example: (x⁵​)³ = x¹⁵

Why study the Laws of Exponents?

These are needed when we are multiplying and dividing polynomials. 

thank you so much.

i hope you learn something from me <333