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Very easy algebra: (3) questions: -----a)(t^6)^(1/2) .....b)(n^0.5)^(8)......c)o.65^(-1/2)?
Simplify a) and b). Round your answer to c) properly to four decimal places. Use the ^ symbol to indicate exponents where necessary
a)(t^6)^(1/2)
b)(n^0.5)^(8)
c)o.65^(-1/2)
1 Answer
- ?Lv 78 years agoFavorite Answer
when you raise an exponent exponentially, you multiply
a)(t^6)^(1/2)
t^(6*1/2)
t^3
b)(n^0.5)^(8)
(n^1/2)^8
n^(1/2*8)
n^4
c)o.65^(-1/2)
typo?
as: o^65^(-1/2)
straight algebra first
o^(65*(-1/2))
o^-32/5
now, the negative exponent indicates the need to invert
1/o^32.5
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negative exponents
consider x^3/x^5
x^3/x^3 cancels, leaving
1/x^2
when you divide exponents, you subtract
x^3/x^5=x^(3-5)=x^-2
so
x^-2=1/x^2
