$\frac{(a^{2}b^{4}c)^{2}*(6a^{3}b)*(2c^{5})^{3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{2*2}b^{4*2}c^{2}6a^{3}b2^{3}c^{5*3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{4}b^{8}c^{2}6a^{3}b8c^{15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*8*a^{4+3}b^{8+1}c^{2+15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*2*a^{7}b^{9}c^{17}}{a^{6}b^{12}c{^3}}\\\\=\frac{12a^{7-6}c{17-3}}{b^{12-9}}\\\\=\frac{12a^{1}c^{14}}{b^{3}}\\\\=\frac{12ac^{14}}{b^{3}}$

Hint:

$x^{m}*x^{n}=x^{m+n}\\\frac{x^{m}}{x^{n}}=x^{m-n},m>n\\\frac{x^{m}}{x^{n}}=\frac{1}{x^{n-m}},n>m$

5 0

2 years ago

Factor 9x6 – 16 y completely.

sveticcg [70]

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

6 0

3 years ago

Angles of a polygon <br><br>thanks

tino4ka555 [31]

Answer:

900 degrees

Step-by-step explanation:

Use the formula for interior angles

Sum = (n - 2) x 180

Sum = (7 - 2) x 180

Sum = 5 x 180

Sum = 900 degrees

If this answer is correct, please make me Brainliest!

3 0

2 years ago

Which is an example of the distributive property?

yulyashka [42]

Answer: D.

Step-by-step explanation:

The distributive property is when you distribute the numbers to make solving easier. This means getting rid of the parentheses. SO your answer would either be A or D.

5 0

2 years ago