Question #5fc4b
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"A 5.00 L sample of helium at STP expands to 15.0 L. What is the new pressure on the gas?"
Do #(8.03)^-4# and #(10^4)^-4 #separately, then use exponent properties
#(8.03\times 10^4)^{-4}#
Exponent properties:
#(ab)^n = a^n \cdot b^n #
#a^n \cdot a^m = a^{n+m}#
Scientific notation is just multiplication, so we use exponent property
#\qquad (8.03\times 10^4)^{-4} = 8.03^{-4} \times(10^4)^{-4}#
On a calculator, #8.03^{-4}# gets me #0.0002405#, which is equivalent to #2.405\times 10^{-4}#.
And #(10^4)^{-4} = 10^{-16}#.
#\qquad (2.405\times 10^{-4}) \times 10^{-16} = 2.405 \times 10^{-4 -16}#
#\qquad =2.405 \times 10^{-20}#
