Question

Multiply. (Simplify your answer
(-5y4z)(-7y6z³)

Answer 1

`35y^(10)z^4`

Explanation:

Given expression:

`(-5y^4z)(-7y^6z^3)`

Apply the rule: (-a) · (-b) = ab

`\implies 5y^4z \cdot 7y^6z^3`

Multiply the numbers: 5 · 7 = 35

`\implies 35y^4zy^6z^3`

Collect like terms:

`\implies 35y^4y^6z^3z`

`\textsf{Apply exponent rule:} \quad a^b \cdot a^c=a^(b+c)`

`\implies 35y^((4+6))z^((3+1))`

Simplify the exponents:

`\implies 35y^(10)z^4`

Answer 2

35y^(10)z^(4)

Explanation:

Solution Given:

(-5y^(4)z)(-7y^(6)z³)

Here while opening bracket

If their is like terms they can be multiplied ,divided,subtracted as well as added.

So

Here

opening bracket and keeping in serially

-5*-7*y^(4)*y^(6)*z*z^(3)

here if their is like terms their power is added.

And solving remaining one.

35y^(4+6)z^(1+3)

Here -5*-7=35

Again

Solving it.

35y^(10)z^(4)