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How do you simplify the following: (3^2)^3
To simplify this you use the following rule:
(a^m)^n = a^mn
The a represents the base number, the m represents the power inside the bracket, and the n represents the power outside the bracket.
y=e^2x-11e^x+24 Find the stationary point, nature of the stationary point, the x-intercepts and the y-intercept (calculator allowed)
Stationary point:
dy/dx = 2e^2x - 11e^x =0
2e^2x = 11e^x
e^x=5.5 (can divide by e^x since e^x > 0 for all x)
x=ln(5.5), y=5.5^2-115.5+24=-6.25
Answer:
