Exercise 15 Page 457

Using the function g(t), we want to evaluate for the given value, t=- 2. To do this, we need to substitute - 2 for t in each instance of the t-variable.

g(t)=2 * 0.4^t

Substitute

t= - 2

g( - 2)=2 * 0.4^(- 2)

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Evaluate right-hand side

WriteAsFrac

Write as a fraction

g(- 2)=2 * (4/10)^(- 2)

NegExponentToFrac

a^(- m)=1/a^m

g(- 2)=2 * 1/( 410)^2

PowQuot

(a/b)^m=a^m/b^m

g(- 2)=2 * 1/4^210^2

DivByFracD

a/b/c= a * c/b

g(- 2)=2 * 1 * 10^2/4^2

IdPropMult

Identity Property of Multiplication

g(- 2)=2 * 10^2/4^2

CalcPow

Calculate power

g(- 2)=2 * 100/16

MoveLeftFacToNum

a*b/c= a* b/c

g(- 2)=200/16

CalcQuot

Calculate quotient

g(- 2)=12.5