Question

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

all the numbers are roots and powers

Answer 1

14

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.