What is 9/2 picm^2y^8picm^2 ?

The solution to 9/2 picm^2y^8picm^2 is (9pi^2c^2m^4y^8)/2

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simplify 9/2 picm^2y^8picm^2

simplify

\frac{9}{2} π c m^{2} y^{8} π c m^{2}

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

Solution steps

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

Add the numbers:

1 + 1 = 2

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

Add the numbers:

2 + 2 = 4

= \frac{9}{2} π y^{8} π c^{2} m^{4}

Apply exponent rule:

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

ππ = π^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= \frac{9}{2} y^{8} π^{2} c^{2} m^{4}

Multiply fractions:

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

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

\frac{e ^{6}}{e ^{3}}

11 (1.3)^{- 3}

e^{3 t} \cdot 15 e^{5 t}

330 \cdot 23.25 \cdot 1 0^{- 3}

e^{- 106}

What is 9/2 picm^2y^8picm^2 ?
The solution to 9/2 picm^2y^8picm^2 is (9pi^2c^2m^4y^8)/2