simplify 1/2 xpix^9

Solution

simplify

\frac{1}{2} x π x^{9}

\frac{π x ^{10}}{2}

Solution steps

\frac{1}{2} x π x^{9}

Apply exponent rule:

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

x x^{9} = x^{1 + 9}

= \frac{1}{2} π x^{1 + 9}

Add the numbers:

1 + 9 = 10

= \frac{1}{2} π x^{10}

Multiply fractions:

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

= \frac{1 π x ^{10}}{2}

Multiply:

1 π = π

= \frac{π x ^{10}}{2}

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