What is (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5) ?

The solution to (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5) is 10r^8v^{12}w^{29}x^6

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simplify (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5)

simplify

(- \frac{1}{4} r^{5} v^{7} w^{2}) (5 r^{3} w^{8} x) (- 8 v^{5} w^{19} x^{5})

10 r^{8} v^{12} w^{29} x^{6}

Solution steps

(- \frac{1}{4} r^{5} v^{7} w^{2}) (5 r^{3} w^{8} x) (- 8 v^{5} w^{19} x^{5})

Simplify

(- \frac{1}{4} r^{5} v^{7} w^{2}) (- 8 v^{5} w^{19} x^{5}) : 2 r^{5} v^{12} w^{21} x^{5}

= 2 r^{5} v^{12} w^{21} x^{5} \cdot 5 r^{3} w^{8} x

Multiply the numbers:

2 \cdot 5 = 10

= 10 r^{5} v^{12} w^{21} x^{5} r^{3} w^{8} x

Simplify

r^{5} r^{3} : r^{8}

= 10 r^{8} v^{12} w^{21} x^{5} w^{8} x

Simplify

w^{21} w^{8} : w^{29}

= 10 r^{8} v^{12} w^{29} x^{5} x

Simplify

x^{5} x : x^{6}

= 10 r^{8} v^{12} w^{29} x^{6}

x^{2} - 12 x + 49 = 22

4 x^{2} + 2 x + 5 = 0

- 2 y^{2} + 4 y + 1 = - 6 y^{2}

9 x - 10 \leq 8 x - 6

\frac{2 w + 3}{9} < 3

What is (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5) ?
The solution to (-1/4 r^5v^7w^2)(5r^3w^8x)(-8v^5w^{19}x^5) is 10r^8v^{12}w^{29}x^6