What is 9/2 picm^28picm^2 ?

The solution to 9/2 picm^28picm^2 is 36pi^2c^2m^4

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simplify 9/2 picm^28picm^2

simplify

\frac{9}{2} π c m^{2} 8 π c m^{2}

36 π^{2} c^{2} m^{4}

Solution steps

\frac{9}{2} π c m^{2} \cdot 8 π c m^{2}

Apply exponent rule:

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

cc = c^{1 + 1}

= \frac{9}{2} π m^{2} \cdot 8 π c^{1 + 1} m^{2}

Add the numbers:

1 + 1 = 2

= \frac{9}{2} π m^{2} \cdot 8 π c^{2} m^{2}

Apply exponent rule:

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

m^{2} m^{2} = m^{2 + 2}

= \frac{9}{2} π 8 π c^{2} m^{2 + 2}

Add the numbers:

2 + 2 = 4

= \frac{9}{2} π 8 π c^{2} m^{4}

Apply exponent rule:

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

ππ = π^{1 + 1}

= \frac{9}{2} \cdot 8 π^{1 + 1} c^{2} m^{4}

Add the numbers:

1 + 1 = 2

= \frac{9}{2} \cdot 8 π^{2} c^{2} m^{4}

Multiply fractions:

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

= \frac{9 \cdot 8 π ^{2} c ^{2} m ^{4}}{2}

Multiply the numbers:

9 \cdot 8 = 72

= \frac{72 π ^{2} c ^{2} m ^{4}}{2}

Divide the numbers:

\frac{72}{2} = 36

= 36 π^{2} c^{2} m^{4}

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