what is a 4a^6b^5c^4 times -7b^7 c^6?
To multiply the two given expressions, we can multiply the numerical coefficients and add the exponents of the variables with the same base.
First, let's multiply the numerical coefficients:
4 * (-7) = -28
Next, let's multiply the variables:
a^6 * b^5 * (-7) * b^7 = -7a^6 * b^(5+7) = -7a^6b^12
b^(12) * c^4 * c^6 = b^(12+7) * c^(4+6) = b^19 * c^10
Putting it all together, we have:
-28a^6b^19c^10
wrong
Apologies for the mistake. Let's calculate it correctly:
To multiply the two expressions, we can multiply the numerical coefficients and add the exponents of the variables with the same base.
-7 * 4 = -28
For the variables:
a^6 * b^5 * b^7 = a^6 * b^(5+7) = a^6 * b^12
c^4 * c^6 = c^(4+6) = c^10
Putting it all together, we have:
-28a^6b^12c^10