Question

When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer


all the numbers are roots and powers

Answer 1

Answer:

14

Step-by-step explanation:

We want to simplify $[(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3$ so as to find the exponent of b.

Let us expand all brackets:

$[(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}$

The exponent of b is 14.