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simplify the expression x^7*2/x^5
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is it \[x ^{7*2}/x ^{5}\] ?
the 2/x^5 is a faction
so it is \[x ^{7} \times 2\div x ^{5}\] ? is this correct?
yes
ok so \[x^{7}\times2 = x \times x \times x \times x \times x \times x \times x \times 2\]
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i do not get that
what is \[2^{2}\]
4
yes, so 2^2 = 2*2 correct?
yes
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similarly 2^3 = 2*2*2 and so on. so x^7 = x*x*x*x*x*x*x
oh ok
so x^7/x^5 = x*x*x*x*x*x*x / x*x*x*x*x = x*x = x^2
so 2 * x^7/x^5 = 2x^2
in general, \[x ^{a}/x ^{b} = x ^{a-b}\]
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so \[x ^{7}/x ^{5} = x ^{(7-5)} = x ^{2}\]
got it now?
yea a little
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