Quiz about Simplifying Exponents

Question 1

$$2d^2d^5$$

Accepted Answer

$$2d^7$$

Answer

$$d^7$$

Answer

$$2d^{10}$$

Answer

$$4d^7$$

Question 2

$$\left(ab^3\right)^2$$

Accepted Answer

$$a^2b^6$$

Answer

$$\frac{27a^3}{b^3}$$

Answer

$$-\frac{1}{64a^6b^{12}}$$

Answer

$$\frac{1}{3a^4}$$

Question 3

$$2nm^3\cdot3m^{-2}n^4$$

Accepted Answer

$$6mn^5$$

Answer

$$-6m^3n^2$$

Answer

$$-\frac{n^2}{m^2}$$

Answer

$$-6m^5n^5$$

Question 4

$$-2n^{-2}\cdot2m^{-2}n^2$$

Accepted Answer

$$-\frac{4}{m^2}$$

Answer

$$-8m^3n^4$$

Answer

$$12mn$$

Answer

$$2m^8$$

Question 5

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

Accepted Answer

$$\frac{x^8}{16y^2}$$

Answer

$$\frac{1}{9x^2}$$

Answer

$$-8x^{12}y^6$$

Answer

$$16x^4$$

Question 6

$$\frac{1}{x^3y^{-2}a^0}$$

Accepted Answer

$$\frac{y^2}{x^3}$$

Answer

$$\frac{y^2}{x^3\cdot0}$$

Answer

$$\frac{x^3}{y^2}$$

Answer

$$1$$

Question 7

$$\left(\frac{2x^4}{5y^5}\right)^{-2}$$

Accepted Answer

$$\left(\frac{25y^{10}}{4x^8}\right)$$

Answer

$$\left(\frac{-4x^8}{-25y^{10}}\right)$$

Answer

$$\left(\frac{2y^{10}}{5x^8}\right)$$

Answer

$$\left(\frac{2x^8}{5y^{10}}\right)$$

Question 8

$$\left(\frac{4^{-2}x^3y^4z^{-5}}{20y^5z^2}\right)$$

Accepted Answer

$$\frac{x^3}{320yz^7}$$

Answer

$$\frac{16x^3y}{20z^7}$$

Answer

$$\frac{16x^3}{20yz^7}$$

Answer

$$\frac{320x^3}{yz^3}$$

Simplifying Exponents