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Professor
Devin
Beau
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What happens when you change the variables?
If you change the variables in a science experiment, you will probably get different results.
What happens when you multiply an exponent by another exponent?
Assuming the bases are the same, you add the exponents. 10^3 x 10^3 = 10^6
What do you do to the exponent when you multiply?
Example(4)2 ( 3)first you take care of the exponent(16)(3)then you times the other numbersYou might mean what happens when you raise and exponent to a power?You multiply the the exponents.
What happens if you divide or multiply a ratio by different numbers?
If you mean multiplying numerator and denominator by different numbers, the result is then a different ratio. If you mean variously multiplying the numerator and denominator by the same number on different occasions, the result is unchanged.
Why do you add the exponents instead of multiplying the exponents?
To understand this, you have to think about what an exponent represents. An exponent is a representation of the number of times the base is multiplied by itself. For example: a3 = a × a × a or: a5 = a × a × a × a × a now look at those same two examples, and consider what happens when you multiply them together: a3 × a5 = (a × a × a) × (a × a × a × a × a) The order of operations doesn't matter in this case, as they're all using the same operator. That means we can get rid of those brackets: = a × a × a × a × a × a × a × a = a8 The exponents are multiplied when a term is raised to more than one power. For example: (a2)3 can also be expressed as: (a2) × (a2) × (a2) = (a × a) × (a × a) × (a × a) = a × a × a × a × a × a = a6
