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Popular >

simplify 2^{-2}*L{tsin(-2t)}

Solution

simplify

2^{- 2} \cdot L {t sin (- 2 t)}

Solution

\frac{L t sin ( - 2 t )}{4}

Solution steps

2^{- 2} L {t sin (- 2 t)}

Apply exponent rule:

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

= L \frac{1}{2 ^{2}} {t sin (- 2 t)}

Remove parentheses:

(a) = a

= \frac{1}{2 ^{2}} L t sin (- 2 t)

Multiply fractions:

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

= \frac{1 L t}{2 ^{2}} sin (- 2 t)

Simplify

\frac{1 L t}{2 ^{2}} : \frac{L t}{4}

= \frac{L t}{4} sin (- 2 t)

Multiply fractions:

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

= \frac{L t sin ( - 2 t )}{4}

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Frequently Asked Questions (FAQ)

What is 2^{-2}*L{tsin(-2t)} ?
The solution to 2^{-2}*L{tsin(-2t)} is (Ltsin(-2t))/4