anonymous
  • anonymous
I really need help with this question ;_; What is the missing exponent? (10^6) = 10 ^-18
Mathematics
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SOLVED
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katieb
  • katieb
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Nnesha
  • Nnesha
\[\huge\rm (x^m)^n = x^{m \times n}\] let's say missing exponent is x \[\huge\rm (10^6)^x =10^{-18}\]
Nnesha
  • Nnesha
multiply the exponents let's say missing exponent is x \[\huge\rm \huge\rm (10^6)^x =10^{-18}\] \[\huge\rm 10^{6 \times x}=10^{-18}\] bases are the same so you cancel them ot then solve for x in other words what would you multiply with 6 yo get -18
Nnesha
  • Nnesha
to get*

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anonymous
  • anonymous
-3 @Nnesha
Nnesha
  • Nnesha
yep
anonymous
  • anonymous
Thank you! <3
Nnesha
  • Nnesha
\[\huge\rm \cancel{10}^{6 \times x}=\cancel{10}^{-18}\] \[6x=-18\] solve for x divide both sides by 6 you will get the answer
Nnesha
  • Nnesha
my pleasure :=) welcome to open study!
anonymous
  • anonymous
Thanks ^-^
Nnesha
  • Nnesha
o^_^oyw

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