What is (16a^2b^3c^4)/(20a^7b^2c^2) ?

The solution to (16a^2b^3c^4)/(20a^7b^2c^2) is (4bc^2)/(5a^5)

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simplify (16a^2b^3c^4)/(20a^7b^2c^2)

simplify

\frac{16 a ^{2} b ^{3} c ^{4}}{20 a ^{7} b ^{2} c ^{2}}

\frac{4 b c ^{2}}{5 a ^{5}}

Solution steps

\frac{16 a ^{2} b ^{3} c ^{4}}{20 a ^{7} b ^{2} c ^{2}}

Factor the number:

16 = 4 \cdot 4

= \frac{4 \cdot 4 a ^{2} b ^{3} c ^{4}}{20 a ^{7} b ^{2} c ^{2}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 4 a ^{2} b ^{3} c ^{4}}{4 \cdot 5 a ^{7} b ^{2} c ^{2}}

Cancel the common factor:

4

= \frac{4 a ^{2} b ^{3} c ^{4}}{5 a ^{7} b ^{2} c ^{2}}

Simplify

\frac{b ^{3}}{b ^{2}} : b

= \frac{4 a ^{2} b c ^{4}}{5 a ^{7} c ^{2}}

Simplify

\frac{c ^{4}}{c ^{2}} : c^{2}

= \frac{4 a ^{2} b c ^{2}}{5 a ^{7}}

Simplify

\frac{a ^{2}}{a ^{7}} : \frac{1}{a ^{5}}

= \frac{4 b c ^{2}}{5 a ^{5}}

\frac{14 - 18}{0 - 2}

(3 a^{2} - 5 ab + 2 b^{2}) (4 a - 5 b)

(- 2) 5

\frac{12 x ^{2} y ^{3}}{15 x y ^{5}}

\frac{\frac{7 x ^{4}}{24 y ^{5}}}{\frac{21 x}{12 y ^{4}}}

What is (16a^2b^3c^4)/(20a^7b^2c^2) ?
The solution to (16a^2b^3c^4)/(20a^7b^2c^2) is (4bc^2)/(5a^5)