anonymous
  • anonymous
What is the value of h? 4ʰ=1/64
Mathematics
chestercat
  • chestercat
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Nnesha
  • Nnesha
hey! can you rewrite 64 in terms of base `4`
Nnesha
  • Nnesha
4 to the what power =64 ?
anonymous
  • anonymous
4^3 power =64?

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Nnesha
  • Nnesha
right \[\huge\rm 4^h =\frac{ 1 }{ 4^3 }\]we are working on right hand side how move 4^3 to the top of the fraction remember the exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\] when we flip the fraction sign of the `exponent` would change
Nnesha
  • Nnesha
now* not how
anonymous
  • anonymous
im confused :/ @Nnesha
Michele_Laino
  • Michele_Laino
we have this: \[\frac{1}{{64}} = \frac{1}{{16 \cdot 4}} = \frac{1}{{4 \cdot 4 \cdot 4}} = \frac{1}{{{4^3}}} = {4^{ - 3}}\]
Nnesha
  • Nnesha
alright i'll give u some examples \[x^{-2} = \frac{ 1 }{ x^{2} }\] it was negative 2 when i flip it it becomes positive 2 \[\large\rm \frac{ 1 }{ x^5 }=\frac{ x^{-5} }{ 1 }\] when i flipped the fraction to move x^5 to the top it becomes x^{-5} so \[\frac{ 1 }{ 4^3 }= ??\]
anonymous
  • anonymous
okay, thanks could you help me with more? @Nnesha
Nnesha
  • Nnesha
got it ? hm h= ?
anonymous
  • anonymous
-3
Nnesha
  • Nnesha
right.
anonymous
  • anonymous
What is 4.56 x 10⁸ written in standard form?
Nnesha
  • Nnesha
alright S.N to Standard form 1st)move the decimal point to the right (the exponents tells us how many places to move right side )
Nnesha
  • Nnesha
brb
Nnesha
  • Nnesha
if the exponent is negative moves decimal to the left side and if it's positive then right side
Nnesha
  • Nnesha
the expo net is positive so we should move the decimal 8 places to the right |dw:1444148347825:dw| now there are only 2 number after decimal for the rest of place we should put 0
Nnesha
  • Nnesha
here is an example |dw:1444148490609:dw|

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