What is 4a^6b^5c^4 • -7b^7c^6?
3 answers
The product of 4a^6b^5c^4 and -7b^7c^6 is -28a^6b^12c^10.
Can you simplify 28a^6b^12c^10
Certainly! To simplify 28a^6b^12c^10, we can break down the factors using their respective properties:
28 = 2 * 2 * 7
a^6 = a * a * a * a * a * a
b^12 = b * b * b * b * b * b * b * b * b * b * b * b
c^10 = c * c * c * c * c * c * c * c * c * c
Combining all the factors, we have:
2 * 2 * 7 * a * a * a * a * a * a * b * b * b * b * b * b * b * b * b * b * b * b * b * b * c * c * c * c * c * c * c * c * c * c
Simplifying further, we get:
392a^6b^12c^10
28 = 2 * 2 * 7
a^6 = a * a * a * a * a * a
b^12 = b * b * b * b * b * b * b * b * b * b * b * b
c^10 = c * c * c * c * c * c * c * c * c * c
Combining all the factors, we have:
2 * 2 * 7 * a * a * a * a * a * a * b * b * b * b * b * b * b * b * b * b * b * b * b * b * c * c * c * c * c * c * c * c * c * c
Simplifying further, we get:
392a^6b^12c^10