What is 9 1/2 x^8 2/3 x pi/(45) ?

The solution to 9 1/2 x^8 2/3 x pi/(45) is (19pix^9)/(135)

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simplify 9 1/2 x^8 2/3 x pi/(45)

simplify

9 \frac{1}{2} x^{8} \frac{2}{3} x \frac{π}{45}

\frac{19 π x ^{9}}{135}

Solution steps

9 \frac{1}{2} x^{8} \frac{2}{3} x \frac{π}{45}

Convert mixed numbers to improper fractions:

9 \frac{1}{2} = \frac{19}{2}

= \frac{19}{2} x^{8} \frac{2}{3} x \frac{π}{45}

Apply exponent rule:

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

x^{8} x = x^{8 + 1}

= \frac{19}{2} \cdot \frac{2}{3} x^{8 + 1} \frac{π}{45}

Add the numbers:

8 + 1 = 9

= \frac{19}{2} \cdot \frac{2}{3} x^{9} \frac{π}{45}

Multiply fractions:

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

= \frac{19 \cdot 2 π x ^{9}}{2 \cdot 3 \cdot 45}

Cancel the common factor:

2

= \frac{19 π x ^{9}}{3 \cdot 45}

Multiply the numbers:

3 \cdot 45 = 135

= \frac{19 π x ^{9}}{135}

632.8 \cdot 1 0^{- 9}

((2^{2})^{2})^{3}

(3 \cdot 1 0^{8}) \cdot (1.5 \cdot 1 0^{4})

\frac{22}{33} e n t r e^{2}

lo g_{10} (10 x) (x^{2} + 2)^{- 3}

What is 9 1/2 x^8 2/3 x pi/(45) ?
The solution to 9 1/2 x^8 2/3 x pi/(45) is (19pix^9)/(135)