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Hello!

Exponents and Radicals

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There are two parts to a term with an exponent: the base and the power.

The power is also known as the exponent or the index.

 

Exponents

Power

Base

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There are two parts to an exponent: the base and the power.

 

Exponents

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Let’s try it

Answer:

 

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Let’s try it

 

 

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When we multiply terms with exponents, we add the exponents.

When we divide terms with exponents, we subtract the exponents.

When we have a power to a power (term with an exponent to the power of another exponent), we multiply the exponents.

 

Properties of exponents

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When we multiply terms with exponents, we add the exponents.

When we divide terms with exponents, we subtract the exponents.

When we have a power to a power (term with an exponent to the power of another exponent), we multiply the exponents.

 

Properties of exponents

 

 

 

 

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The exponents in the expressions here apply to all the terms inside the parenthesis.

Properties of exponents

 

 

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When we have a negative exponent, we take the reciprocal.

Properties of exponents

 

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Roots are basically the opposite of exponents.

We look for a number that, multiplied by itself x times, is y.

 

Radicals/roots

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Roots are basically the opposite of exponents.

We look for a number that, multiplied by itself x times, is y.

Radicals/roots

 

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Roots are basically the opposite of exponents.

We look for a number that, multiplied by itself x times, is y.

Radicals/roots

 

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Roots are basically the opposite of exponents.

We look for a number that, multiplied by itself x times, is y.

This applies for decimals or fractions too.

Radicals/roots

 

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Simplifying radicals/roots

 

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Simplifying radicals/roots

 

 

 

 

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Questions?