Product Rule- If you have an equation where exponents that have the same base are multiplied, it looks like this:
example: 5 to the 6th power times 5 to the 8th power
then, you will keep the same base, and ADD the exponents, like this:
solution: (5x5x5x5x5x5)x(5x5x5x5x5x5x5x5)=5 to the 6th + 8th power=5 to the 14th power.
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Quotient Rule- If you have an equation where exponents have the same base are multiplied, it looks like this:
example: 5 to the 8th power divided by 5 to the 6th power
then, you will keep the base, and SUBTRACT the exponents, like this:
solution: (5x5x5x5x5x5x5x5)
(5x5x5x5x5x5) = 5 to the 8th-6th power= 5 to the 2nd power
example: 5 to the 6th power times 5 to the 8th power
then, you will keep the same base, and ADD the exponents, like this:
solution: (5x5x5x5x5x5)x(5x5x5x5x5x5x5x5)=5 to the 6th + 8th power=5 to the 14th power.
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Quotient Rule- If you have an equation where exponents have the same base are multiplied, it looks like this:
example: 5 to the 8th power divided by 5 to the 6th power
then, you will keep the base, and SUBTRACT the exponents, like this:
solution: (5x5x5x5x5x5x5x5)
(5x5x5x5x5x5) = 5 to the 8th-6th power= 5 to the 2nd power