Quiz about Repaso Fundamentos Matemáticos

Question 1

Realiza y simplifica las siguientes operaciones sin calculadora

$$\frac{1}{1+\frac{4}{11}}=$$

Accepted Answer

$$\frac{11}{15}$$

Answer

$$\frac{1}{165}$$

Answer

$$\frac{15}{11}$$

Answer

165

Answer

$$\frac{5}{11}$$

Question 2

Resuelve y simplifica las siguientes operaciones

$$\left(-7\right)\ -\left\{9-[\left(-7\right)+\left(-13\right)-\left(-5\right)]+[23-18+\overline{-6}]\right\}$$

Accepted Answer

-30

Answer

30

Answer

29

Answer

-29

Answer

31

Question 3

Simplifica las siguientes expresiones dando el resultado sin exponentes negativos o

cero, y sin que haya bases repetidas.

$$\left(\frac{9^{\frac{1}{2}}x^{-2}y^{-3}}{25^{\frac{1}{2}}x^{-\frac{1}{2}}y^{-\frac{1}{3}}}\right)\div\left(\frac{x^{\frac{2}{3}}y^{\frac{3}{4}}}{x^{-\frac{1}{3}}y^{\frac{1}{2}}}\right)$$

Accepted Answer

$$\frac{\ \ \ \ \ 3}{5\ y^2\ \ \sqrt[\ 12]{y^5}\ \ x^2\ \ \sqrt[]{x}}$$

Answer

$$\frac{3}{5\ y^{\frac{29}{12}}x^{\frac{5}{2}}}$$

Answer

$$\frac{\sqrt[]{9}x^{\frac{5}{2}}}{\sqrt[]{25}\ y^{\frac{29}{2}}}$$

Answer

$$\frac{\sqrt[]{9}x^{\frac{1}{2}}}{\sqrt[]{25}\ y^{\frac{3}{2}}}$$

Question 4

Resuelve las siguientes operaciones y simplifica

$$\left(x-6\right)^2-\left(x+6\right)^2$$

Accepted Answer

-24x

Answer

0

Answer

-36

Answer

36

Question 5

Desarrolla el siguiente producto notable

$$\left(a-16+b\right)\left(a+16-b\right)$$

Accepted Answer

$$a^2-b^2+32b-256$$

Answer

$$a^2-b^2-32b+256$$

Answer

$$a^2-b^2+32a+256$$

Answer

$$a^2-b^2-32a+256$$

Question 6

Desarrolla en siguiente producto notable

$$\left(4m^2-3n^3\right)\left(16m^{4^{ }}+12m^2n^{3^{ }}+9n^6\right)=$$

Accepted Answer

$$64m^6-27n^9$$

Answer

$$64m^6+27n^9$$

Answer

$$16m^6-9n^9$$

Answer

$$16m^6+9n^9$$

Question 7

Resuelve el siguiente producto notable

$$\left(2x^4+4y\right)^3=$$

Accepted Answer

$$8x^{12}+48x^8y+96x^4y^2+64y^3$$

Answer

$$8x^{12}-48x^8y+9x^4y^2+64y^3$$

Answer

$$8x^{12}+4x^8y+96x^4y^2+64y^3$$

Answer

$$8x^{12}-48x^8y+96x^4y^2-64y^3$$

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