Question

Simplify. Your answer should contain only positive exponents.

Answer 1

Answer:

Step-by-step explanation:

7.

2y² * 3x = 6xy²

8.

4v³ * vu²

$= 4 \times 1 \times (v^{3+1})( u^2)$

= 4v⁴u²

9.

4a³b² * 3a⁻⁴b⁻³

$= 4 \times 3 \times a^{(3+(-4))} \times b ^{(2+(-3))}$

= 12a⁻¹b⁻¹

$= \dfrac{1}{12ab}$

10.

x²y⁻⁴ * x³y²

$= x^{2+3}y^{(-4)+2}$

$= x^{5}y^{-2}$

$= x^{5} \times \dfrac{1}{y^{2}}$

11.

(x²)⁰ = 1

12.

(2x²)⁻⁴

$= (2^{-4} \times x^2^{(-4)})$

$= \dfrac{1}{16x^8}$