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Created with Fabric.js 1.4.5 Scientific Notation & Laws of Exponents Andrzej M. Law Example Proof The exponent on the outside of the parenthesis multiplies with all of theexponents inside of the parenthesis.When the bases are the same and they're multiplying, theexponents add (combine like terms).When the bases are the same and they are dividing, the exponents subtract.Negative exponents onbases become positivewhen they switch locations. (2/3)^6 = 2^6/3^4m^3*m^4 = m^7m^5/m^3 = m^2x^3/x^5 = x^3-^5 = x^-2 = 1/x^2= 1/x^5-^3 = 1/x^2m^0 = 1 (2/3)^6 = 2/3*2/3*2/3*2/3*2/3*2/3 = 2^6/3^6(2m^3/4a^2)^3 = 2^3n^9/4^3a^61*1*1*m^2/1*1*1 = m^2This proof had so many complicatedmathematical symbols that it wouldbe impossible to insert it here. / = divided by, * = multiplied by, ^ = to the power of. Also, any base to the power of 0 = 1 Scientific notation is very useful in real life. It can be used to handle very big or very small numbers. For instance, if you were to calculate the distancefrom New Delhi to Beijing (3230km), it would be easier to write it in scientific notation. To write the number in scientific notation, you would have to count the zeroes (which is one in this case). So you would write 3.23 x 10^1. 10 to the power of one because we calculated one zero in the number written in the standard form. Also, you would write 3.23 instead of 323 because to write a number in scientific notation, the number must be from 1 to 9. The Knowledge Project
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