I
found myself in some lessons on
Exponents (starting
here), basically how to add,
subtract, multiply and divide
scientific figures, i.e. those
with exponents, such as 1.32^{3}
x 24.2^{4}
What
I came to appreciate, regarding my
issue with the 4^{0.3}
problem, is that in the previous
example, the exponents of 3 and 4
are whole numbers and dictate how
much we can move a decimal point in
whole "moves". A power of only .3
means that the decimal point is
moving not by a whole number but
instead by only a fraction. My main
issue was how to do such a
calculation on my Casio fx85VH but
I needed a lesson on the math first
and those previous videos didn't go
that far. I also wondered about
"what situations might call for a
decimal point moving only a fraction
of a place!)
I then
found myself on another
video that pulled me from the
comfort of 'Scientific Notation' and
into 'roots'. I was shows things
like square roots and cube roots (4^{2}
= 4 x 4 = 16 and 4^{3} = 4 x
4 x 4 = 64) both of which I could do
on my calculator using the square
root button and shifting to the cube
root button respectively. The video
went into halfs and thirds, the
latter being 0.3333. . ., I could
use 4^{1/3} and get 1.587 .
. . but the book has 4^{0.3}
= 1.516.
I
watched this
video and I still don't know how
my maths book gets 1.516 from 4^{0.3 }
!
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