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Mathematics 9 Online
OpenStudy (anonymous):

http://prntscr.com/7brctg EASY QUESTION. QUICK MEDAL.

OpenStudy (anonymous):

531438 i think.

OpenStudy (ashleynguyenx3):

\[(3^6)^2\] Multiply the numbers 6x2

OpenStudy (ashleynguyenx3):

When theres exponentials and the numbers are multiplying, add.

OpenStudy (ashleynguyenx3):

so 3^12 x 3^0 (Just add the exponents)

OpenStudy (usukidoll):

you guys forgot to mention that whenever the exponent is 0 the ending result is a 1? \[3^0 = 1\] and as for \[(3^6)^2\] you can either multiply the 2 with the 6 making it \[6 \times 2 = 12\] or you can write \[(3^6)\] two times. the outer exponent tells you how many times to write and using exponential laws like \[a^3a^3 \rightarrow a^{3+3} \rightarrow a^6\] so in this case for \[(3^6)(3^6) \rightarrow 3^{6+6} \rightarrow 3^{12}\] \[3^{12} \cdot 3^0\] Since \[3^0 = 1\] \[3^{12} \cdot 1 \rightarrow 3^{12} \]

OpenStudy (unklerhaukus):

\[(3^6)^2\cdot3^0=3^{6\times2+0}\]

OpenStudy (usukidoll):

that's still 3^12 regardless of what you're doing... as long as none of the math laws are being broken, more than one method to solving this problem exists. This issue lead to a lot of debate between me and my Mathematical Biology professor last semester.

OpenStudy (usukidoll):

and again there's the zero exponent special case... why not use that first and then use exponential laws on ((3^6))^2

OpenStudy (usukidoll):

yay medal :)

OpenStudy (unklerhaukus):

biologist will tell you that multiplication and division are that same thing

OpenStudy (usukidoll):

D:

OpenStudy (usukidoll):

boooooooooo! Taking the special zero exponent case would've been easier.

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