Simplify. Your answer should contain only positive exponents. 1) $$ 2 m^{2} \cdot 2 m^{3} $$ 2) $$ m^{4} \cdot 2 m^{-3} $$ 3) $$ 4 r^{-3} \cdot 2 r^{2} $$ 4) $$ 4 n^{4} \cdot 2 n^{-3} $$ 5) $$ 2 k^{4} \cdot 4 k $$ 6) $$ 2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3} $$ 7) $$ 2 y^{2} \cdot 3 x $$ 8) $$ 4 v^{3} \cdot v u^{2} $$ 9) $$ 4 a^{3} b^{2} \cdot 3 a^{-4} b^{-3} $$ 10) $$ x^{2} y^{-4} \cdot x^{3} y^{2} $$ 11) $$ \left(x^{2}\right)^{0} $$ 12) $$ \left(2 x^{2}\right)^{-4} $$

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UpStudy AI · Accepted Answer

Sure, here are the simplified expressions with only positive exponents:

1) $$2 m^{2} \cdot 2 m^{3}$$

$$
4 m^{5}
$$

2) $$m^{4} \cdot 2 m^{-3}$$

$$
2 m
$$

3) $$4 r^{-3} \cdot 2 r^{2}$$

$$
\frac{8}{r}
$$

4) $$4 n^{4} \cdot 2 n^{-3}$$

$$
8 n
$$

5) $$2 k^{4} \cdot 4 k$$

$$
8 k^{5}
$$

6) $$2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3}$$

$$
4 x^{2}
$$

7) $$2 y^{2} \cdot 3 x$$

$$
6 x y^{2}
$$

8) $$4 v^{3} \cdot v u^{2}$$

$$
4 v^{4} u^{2}
$$

9) $$4 a^{3} b^{2} \cdot 3 a^{-4} b^{-3}$$

$$
\frac{12}{a b}
$$

10) $$x^{2} y^{-4} \cdot x^{3} y^{2}$$

$$
\frac{x^{5}}{y^{2}}
$$

11) $$\left(x^{2}\right)^{0}$$

$$
1
$$

12) $$\left(2 x^{2}\right)^{-4}$$

$$
\frac{1}{16 x^{8}}
$$
1) $$4 m^{5}$$ 2) $$2 m$$ 3) $$\frac{8}{r}$$ 4) $$8 n$$ 5) $$8 k^{5}$$ 6) $$4 x^{2}$$ 7) $$6 x y^{2}$$ 8) $$4 v^{4} u^{2}$$ 9) $$\frac{12}{a b}$$ 10) $$\frac{x^{5}}{y^{2}}$$ 11) $$1$$ 12) $$\frac{1}{16 x^{8}}$$

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