What is 6y^9y^{14}y(2pi)/(45)3 ?

The solution to 6y^9y^{14}y(2pi)/(45)3 is (4piy^{24})/5

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simplify 6y^9y^{14}y(2pi)/(45)3

simplify

6 y^{9} y^{14} y \frac{2 π}{45} 3

\frac{4 π y ^{24}}{5}

Solution steps

6 y^{9} y^{14} y \frac{2 π}{45} \cdot 3

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{9} y^{14} y = y^{9 + 14 + 1}

= 6 y^{9 + 14 + 1} \frac{2 π}{45} \cdot 3

Add the numbers:

9 + 14 + 1 = 24

= 6 y^{24} \frac{2 π}{45} \cdot 3

Multiply fractions:

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

= \frac{2 π 6 y ^{24} \cdot 3}{45}

Multiply the numbers:

2 \cdot 6 \cdot 3 = 36

= \frac{36 π y ^{24}}{45}

Cancel the common factor:

9

= \frac{4 π y ^{24}}{5}

e^{- 2 x} cos (2 x)

x^{2} a^{2}

e^{- 2 x} cos (3 x)

- 4 e^{- 2}

What is 6y^9y^{14}y(2pi)/(45)3 ?
The solution to 6y^9y^{14}y(2pi)/(45)3 is (4piy^{24})/5