The Laws of Exponent - Merjilla_294_Module 6 Activity

The Laws of Exponent

By Jobhel Merjilla

​= 81

3⁴ = 3 x 3 x 3 x 3​

​this one seems easy!

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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.

​

​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

Multiple Choice

Simplify:

b² * b⁵

• b⁵

• b⁶

• b⁷

• b⁸

Multiple Choice

Simplify:

38⁰

• 38

• 380

• 0

• 1

Multiple Choice

Simplify:

4⁴

• 16

• 8

• 256

• 4

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

Multiple Choice

$$\frac{4^3\cdot4^9}{4^6}$$  

• 4⁶

• 4²¹

• 4²

• 4¹²

Multiple Choice

$$\frac{6^5}{6^3}$$  

• 6⁸

• 6²

• 1⁸

• 1²

Multiple Choice

Simplify the following:

$$\left(x^2y\right)^5$$  

• x⁷y⁵

• x¹⁰y⁵

• x²y⁵

• x⁵y⁵

Multiple Choice

$$\left(5^3\right)^4\times5^5$$  

• 25⁶⁰

• 5⁶⁰

• 5¹⁷

• 25¹⁷

Why study the Laws of Exponents?

These are needed when we are multiplying and dividing polynomials. 

Poll

Which Laws of Exponents are still confusing for you?

• Exponential Form

• Multiplying Powers

• Zero Law of Exponent

• Dividing Powers

• Power of a Power

thank you so much.

i hope you learn something from me <333