Question

2. Expand the following:
(a) a3b2c5​

Answer 1

solution)

Step-by-step explanation:

a3b2c5

= log a3+log b2+log c5

=a log3+b log2+c log 5

Answer 2

a3b2c5 can be fully expanded as a product of its variables and exponents, which is a cube of a, a square of b, and a quintuple of c.

Given:

a3b2c5

To find:

expansion of ​a3b2c5

Solution:

The expression a3b2c5 represents a term in algebraic notation that contains three "a's," two "b's," and five "c's." To expand this term, we need to multiply these variables according to their exponent values.

So, we can write a3b2c5 as:

a × a × a × b × b × c × c × c × c × c

This can be simplified by multiplying the coefficients and grouping the like terms together.

a3b2c5 = (a × a × a) × (b × b) × (c × c × c × c × c)

Therefore, a3b2c5 can be fully expanded as a product of its variables and exponents, which is a cube of a, a square of b, and a quintuple of c.

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