Question

Simplify the expression
0.3y^2 * (-1/3 x^4 y^6)

Answer 1

`0.1 \cdot x^4 y^(8)`

Explanation:

To simplify the expression
`\sf 0.3y^2 * \left(-(1)/(3) x^4 y^6\right)`, we can use the distributive property and the power rule.

Distributive property:

`\boxed{\sf (a + b) * c = a * c + b * c }`

Power rule:

`\boxed{\sf x^m * x^n = x^(m + n) }`

Using the distributive property, we can distribute the 0.3y^2 to the -1/3 and the x^4 y^6:

`\sf 0.3y^2 * \left(-(1)/(3) x^4 y^6\right) = - 0.3y^2 * (1)/(3) x^4 y^6`

Simplify :

`0.1 \cdot y^2 \cdot x^4 y^6`

Using the power rule, we can simplify the terms in parentheses:

`0.1 \cdot x^4 y^(2+6)`

Combining like terms, we get:

`0.1 \cdot x^4 y^(8)`

Therefore, the simplified expression is:

`0.1 \cdot x^4 y^(8)`