I learned about powers and exponents this week.

If the question is multiplication, we have to add the exponents. However, bases have to be the same in this case. For example, like this.

If the question is division, we have to subtract the exponents. Bases also have to be the same. Here is an example.

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If the question uses parentheses, we have to multiply the exponents.

And then I also learned about exponent laws. There are three cases for exponent laws.

Multiplication(product) law

Division(quotient) law

Power law

And we can decide the calculation order from these three. We can get the same answers whatever you choose.

 

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