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Popular >

simplify pix6^2x 1/2

Solution

simplify

π x 6^{2} x \frac{1}{2}

Solution

18 π x^{2}

Solution steps

π x \cdot 6^{2} x \frac{1}{2}

Apply exponent rule:

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

xx = x^{1 + 1}

= π 6^{2} x^{1 + 1} \frac{1}{2}

Add the numbers:

1 + 1 = 2

= π 6^{2} x^{2} \frac{1}{2}

Multiply fractions:

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

= \frac{1 π 6 ^{2} x ^{2}}{2}

Multiply:

1 π = π

= \frac{6 ^{2} π x ^{2}}{2}

Factor

6^{2} : 2^{2} \cdot 3^{2}

= \frac{2 ^{2} \cdot 3 ^{2} π x ^{2}}{2}

Cancel the common factor:

2

= 3^{2} \cdot 2 π x^{2}

Refine

= 18 π x^{2}

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Frequently Asked Questions (FAQ)

What is pix6^2x 1/2 ?
The solution to pix6^2x 1/2 is 18pix^2