contestada

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

Respuesta :

Answer:

Step-by-step explanation:

7.

2y² * 3x = 6xy²

8.

4v³ * vu²

[tex]= 4 \times 1 \times (v^{3+1})( u^2)[/tex]

= 4v⁴u²

9.

4a³b² * 3a⁻⁴b⁻³

[tex]= 4 \times 3 \times a^{(3+(-4))} \times b ^{(2+(-3))}[/tex]

= 12a⁻¹b⁻¹

[tex]= \dfrac{1}{12ab}[/tex]

10.

x²y⁻⁴ * x³y²

[tex]= x^{2+3}y^{(-4)+2}[/tex]

[tex]= x^{5}y^{-2}[/tex]

[tex]= x^{5} \times \dfrac{1}{y^{2}}[/tex]

11.

(x²)⁰ = 1

12.

(2x²)⁻⁴

[tex]= (2^{-4} \times x^2^{(-4)})[/tex]

[tex]= \dfrac{1}{16x^8}[/tex]

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