5.1.6 Æfingar

5.1.6 • Æfingar

Leystu eftirfarandi spurningar til að æfa færnina sem þú hefur lært í þessari kennslustund.

Einfaldaðu hverja stæðu með viðeigandi veldisreglu.

1.

Svarmöguleikar:

1. $$f^8$$
2. $$f^{12}$$
3. $$f^4$$
4. $$f^{36}$$

   2.

   $$\frac{{(-y)}^6}{{(-y)}^3}$$

   Svarmöguleikar:

1. $${(-y)}^{18}$$
2. $${(-y)}^9$$
3. $${(-y)}^2$$
4. $${(-y)}^3$$

   3.

   $${(-4)}^0$$

   Svarmöguleikar:

1. $$-4$$
2. $$1$$
3. $$4$$
4. $$0$$

   4.

   $$2^{-3}$$

   Svarmöguleikar:

1. $$-\frac{1}{8}$$
2. $$\frac{1}{8}$$
3. $$-6$$
4. $$8$$

   5.

   $$\frac{1}{{(-t)}^{-5}}$$

   Svarmöguleikar:

1. $${(-t)}^5$$
2. $$\frac{1}{t^5}$$
3. $$t^5$$
4. $$t^4$$

   6.

   $${(-\frac{m}{n})}^{-3}$$

   Svarmöguleikar:

1. $$-\frac{m^3}{n^3}$$
2. $$-\frac{n^3}{m^3}$$
3. $$\frac{m^3}{n^3}$$
4. $$\frac{n^3}{m^3}$$

   7.

   $${(d^3)}^5$$

   Svarmöguleikar:

1. $$d^{-2}$$
2. $$d^5$$
3. $$d^8$$
4. $$d^{15}$$

   8.

   $${(5x^{-2})}^3$$

   Svarmöguleikar:

1. $$125x$$
2. $$\frac{125}{x^6}$$
3. $$5x$$
4. $$\frac{125}{x^5}$$

   9.

   $${(\frac{7b^{3}c}{d^2})}^2$$

   Svarmöguleikar:

1. $$\frac{49b^5{c}^2}{d^4}$$
2. $$\frac{49b^6{c}^2}{d^4}$$
3. $$\frac{7b^6{c}^2}{d^4}$$
4. $$\frac{d^4}{49b^6{c}^2}$$

   10.

   $${(\frac{3z^{-2}}{w^2})}^{-2}$$

   Svarmöguleikar:

1. $$\frac{z^4{w}^4}{9}$$
2. $$\frac{w^4}{9z^4}$$
3. $$\frac{9w^4}{z^4}$$
4. $$9z^4{w}^4$$