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Popular >

simplify pi(27.5mm)^2(54mm)

Solution

simplify

π (27.5 mm)^{2} (54 mm)

Solution

128294.78999 \dots m^{6}

Solution steps

π (27.5 mm)^{2} (54 mm)

Apply exponent rule:

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

mm = m^{1 + 1}

= π (27.5 mm)^{2} \cdot 54 m^{1 + 1}

Add the numbers:

1 + 1 = 2

= π (27.5 mm)^{2} \cdot 54 m^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

m^{2} (27.5 mm)^{2} = (27.5 mmm)^{2}

= 54 π (27.5 mmm)^{2}

Simplify

27.5 mmm : 27.5 m^{3}

= 54 π (27.5 m^{3})^{2}

(27.5 m^{3})^{2} = 27. 5^{2} m^{6}

= 54 \cdot 27. 5^{2} π m^{6}

27. 5^{2} = 756.25

= 54 \cdot 756.25 π m^{6}

Refine

= 128294.78999 \dots m^{6}

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Frequently Asked Questions (FAQ)

What is pi(27.5mm)^2(54mm) ?
The solution to pi(27.5mm)^2(54mm) is 128294.78999…m^6