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Multiplying & Dividing Terms with Exponents

 

In this video, we are going to look at how to multiply and divide terms with exponents.
For example:
To solve the following:
3^2 \times 3^3
We add the exponents when the bases are the same, to get
3^5
To solve something more complex such as
(3x^3y^2)(4x^4y^5)
we multiply the constants first, then we multiply the terms with the same base to get
12x^7y^7
To solve the following:
3^4 \div 3^2
we subtract the exponents when the bases are the same, to get
3^2

Other examples:

Multiplying Terms that have Exponents and the Same Base
x^a \times x^b = x^{a+b}
3^9 \times 3^4 = 3^{9+4} = 3^{13}

Dividing Terms that have Exponents and the Same Base
x^a \div x^b = x^{a-b}
3^9 \div 3^4 = 3^{9-4} = 3^{5}

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