Question

Simplify. Your answer should contain only positive exponents.

7. 2y² * 3x
8. 4v³ * vu²
9. 4a³b² * 3a⁻⁴b⁻³
10. x²y⁻⁴ * x³y²
11. (x²)⁰
12. (2x²)⁻⁴

Answer 1

Explanation:

7.

2y² * 3x = 6xy²

8.

4v³ * vu²

`= 4 * 1 * (v^(3+1))( u^2)`

= 4v⁴u²

9.

4a³b² * 3a⁻⁴b⁻³

`= 4 * 3 * a^((3+(-4))) * b ^((2+(-3)))`

= 12a⁻¹b⁻¹

`= (1)/(12ab)`

10.

x²y⁻⁴ * x³y²

`= x^(2+3)y^((-4)+2)`

`= x^(5)y^(-2)`

`= x^(5) * (1)/(y^(2))`

11.

(x²)⁰ = 1

12.

(2x²)⁻⁴

`= (2^(-4) * x^2^((-4)))`

`= (1)/(16x^8)`