Quiz about Laws of Exponents (Review)

Question 1

Simplify the expression $$\left(3x^4\right)^5$$ .

Accepted Answer

$$243x^{20}$$

Answer

$$15x^9$$

Answer

$$15x^{20}$$

Answer

$$243x^9$$

Question 2

According the laws of exponents, when we multiple the same base we ________ the exponents.

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 3

Simplify the expression $$\left(-4r^5\right)\left(2r^8\right)$$ .

Accepted Answer

$$-8r^{13}$$

Answer

$$-8r^{40}$$

Answer

$$-2r^{13}$$

Answer

$$-2y^{40}$$

Question 4

Simplify the expression $$-yx^2z^3\left(4y^0z\right)^2$$ using the laws of exponents.

Accepted Answer

$$-16x^2yz^5$$

Answer

$$-4x^2yz^5$$

Answer

$$16x^2yz^5$$

Answer

$$-16x^2z^5$$

Question 5

What is the simplified form of $$\frac{\left(2p^5m\right)^{-2}}{p}$$ ?

Accepted Answer

$$\frac{1}{4m^2p^{11}}$$

Answer

$$4m^2p^{11}$$

Answer

$$\frac{m^2}{4p^{11}}$$

Answer

$$\frac{4}{m^2p^{11}}$$

Question 6

What is the simplified form of $$\frac{10h^5k^3}{24h^{-2}}$$ ?

Accepted Answer

$$\frac{5h^7k^3}{12}$$

Answer

$$\frac{h^7k^3}{12}$$

Answer

$$\frac{12h^7k^3}{5}$$

Answer

$$\frac{5h^3k^7}{12}$$

Question 7

Simplify the expression using the laws of exponents; $$r^2\left(3st^4\right)^2$$ .

Accepted Answer

$$9r^4s^2t^8$$

Answer

$$3r^4s^2t^8$$

Answer

$$3r^2s^2t^8$$

Answer

$$9r^4s^2t^{16}$$

Question 8

Which of the choices below is the simplified form of the expression $$\frac{-3x^2yz^3}{9z^{10}x}$$ ?

Accepted Answer

$$-\frac{xy}{3z^7}$$

Answer

$$-\frac{3xy}{z^7}$$

Answer

$$\frac{xy}{3z^7}$$

Answer

$$-\frac{7}{3z^7}$$

Question 9

Simplify the expression $$w^{-2}\left(4w\right)^2$$ .

Accepted Answer

$$16$$

Answer

$$16w^4$$

Answer

$$4w^2$$

Answer

$$16w^2$$

Question 10

Evaluate the given expression using the quotient rule: $$\frac{2^8z^{10}}{2^6z^3}$$

Accepted Answer

$$2^2z^7$$

Answer

$$2^{14}z^{13}$$

Answer

$$\frac{2^{14}}{z^7}$$

Answer

$$\frac{2^2}{z^7}$$

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