What is simplify-2^{-t}ln(2)(cos(2pit)) ?

The solution to simplify-2^{-t}ln(2)(cos(2pit)) is -(ln(2)cos(2pit))/(2^t)

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simplify-2^{-t}ln(2)(cos(2pit))

simplify

- 2^{- t} ln (2) (cos (2 π t))

- \frac{ln ( 2 ) cos ( 2 π t )}{2 ^{t}}

Solution steps

- 2^{- t} ln (2) (cos (2 π t))

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - ln (2) \frac{1}{2 ^{t}} cos (2 π t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot ln ( 2 ) cos ( 2 π t )}{2 ^{t}}

Multiply:

1 \cdot ln (2) = ln (2)

= - \frac{ln ( 2 ) cos ( 2 π t )}{2 ^{t}}

2.7 \cdot 1 0^{- 6}

- \frac{1}{4} e^{- 4 (0)}

\frac{- 3}{500} (160 e^{- 0.006 t})

40 \cdot 250 \cdot 1 0^{- 6} \cdot 25 \cdot 1 0^{- 9} \cdot 20000

(2.5 \cdot 1 0^{- 4}) (6.7 \cdot 1 0^{- 5})

What is simplify-2^{-t}ln(2)(cos(2pit)) ?
The solution to simplify-2^{-t}ln(2)(cos(2pit)) is -(ln(2)cos(2pit))/(2^t)