Question

16a ^ 5 * b ^ 3 * c ^ 2 / (0, 4a ^ 4 * b * c ^ 2)

Answer 1

Все решение на прикрепленном фото.

Answer 2

To simplify the expression, let's break it down step by step:

16a^5 * b^3 * c^2 / (0.4a^4 * b * c^2)

Step 1: Combine the like terms in the numerator. The terms with the same variables (a, b, and c) can be multiplied together by adding their exponents.

16a^5 * b^3 * c^2 / (0.4a^4 * b * c^2) becomes:

(16/0.4) * (a^5/a^4) * (b^3/b) * (c^2/c^2)

Simplifying the coefficient, 16/0.4 equals 40:

40 * (a^5/a^4) * (b^3/b) * (c^2/c^2)

Step 2: Simplify the exponents. When dividing variables with the same base, we subtract the exponents.

40 * (a^(5-4)) * (b^(3-1)) * (c^(2-2))

This simplifies further:

40 * (a^1) * (b^2) * (c^0)

Since any non-zero number raised to the power of 0 is 1, c^0 is equal to 1:

40 * (a^1) * (b^2) * 1

Step 3: Simplify further. Any number raised to the power of 1 is equal to the number itself. Therefore, a^1 is equal to a.

The final simplified expression is:

40ab^2