Quiz about Laws of Exponents (integer)

Question 1

Simplify the expression: $$3^2 \cdot 3^4$$ .

Accepted Answer

$$3^6$$

Answer

$$3^8$$

Answer

$$3^7$$

Answer

$$3^5$$

Question 2

Simplify the expression: $$(x^3)^4$$ .

Accepted Answer

$$x^{12}$$

Answer

$$x^{7}$$

Answer

$$x^{9}$$

Answer

$$x^{16}$$

Question 3

Simplify the expression: $$\frac{y^5}{y^2}$$ .

Accepted Answer

$$y^3$$

Answer

$$y^7$$

Answer

$$y^2$$

Answer

$$y^1$$

Question 4

Simplify the expression: $$a^0 \cdot b^0$$ .

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$a + b$$

Answer

$$a \cdot b$$

Question 5

Simplify the expression: $$(2x^2y^3)^2$$ .

Accepted Answer

$$4x^4y^6$$

Answer

$$4x^2y^3$$

Answer

$$2x^4y^6$$

Answer

$$2x^2y^3$$

Question 6

Simplify the expression: $$5^{-2}$$ .

Accepted Answer

$$\frac{1}{25}$$

Answer

$$25$$

Answer

$$5$$

Answer

$$\frac{1}{5}$$

Question 7

Simplify the expression: $$x^3 \cdot x^{-5}$$ .

Accepted Answer

$$x^{-2}$$

Answer

$$x^2$$

Answer

$$x^{-8}$$

Answer

$$x^8$$

Question 8

Simplify the expression: $$\frac{(3a^2b)^3}{9a^3b^2}$$ .

Accepted Answer

$$a^3b$$

Answer

$$a^3b^3$$

Answer

$$a^2b$$

Answer

$$a^2b^3$$

Question 9

Simplify the expression: $$(x^{-1}y^2)^3$$ .

Accepted Answer

$$x^{-3}y^6$$

Answer

$$x^3y^6$$

Answer

$$x^{-3}y^{-6}$$

Answer

$$x^3y^{-6}$$

Question 10

Simplify the expression: $$2^3 \cdot 2^{-5}$$ .

Accepted Answer

$$2^{-2}$$

Answer

$$2^2$$

Answer

$$2^{-8}$$

Answer

$$2^8$$

Question 11

Simplify the expression: $$\left(\frac{x^2}{y^3}\right)^2$$ .

Accepted Answer

$$\frac{x^4}{y^6}$$

Answer

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

Answer

$$\frac{x^4}{y^3}$$

Answer

$$\frac{x^2}{y^6}$$

Question 12

Simplify the expression: $$(-3x^2y)^2$$ .

Accepted Answer

$$9x^4y^2$$

Answer

$$-9x^4y^2$$

Answer

$$9x^2y$$

Answer

$$-9x^2y$$

Question 13

Simplify the expression: $$a^3b^{-2} \cdot a^{-1}b^4$$ .

Accepted Answer

$$a^2b^2$$

Answer

$$a^4b^2$$

Answer

$$a^2b^{-6}$$

Answer

$$a^{-2}b^6$$

Question 14

Simplify the expression: $$\frac{4x^{-3}y^2}{2x^{-1}y^{-2}}$$ .

Accepted Answer

$$2x^2y^4$$

Answer

$$2x^{-2}y^4$$

Answer

$$2x^{-2}y^{-4}$$

Answer

$$2x^2y^{-4}$$

Question 15

Simplify the expression: $$(5x^{-1}y^0)^3$$ .

Accepted Answer

$$125x^{-3}$$

Answer

$$125x^3$$

Answer

$$15x^{-3}$$

Answer

$$15x^3$$

Question 16

Simplify the expression: $$\frac{(2a^{-2}b^3)^2}{4a^{-4}b}$$ .

Accepted Answer

$$a^4b^5$$

Answer

$$a^0b^5$$

Answer

$$a^4b^6$$

Answer

$$a^0b^6$$

Question 17

Simplify the expression: $$(4x^3y^{-1})^2 \cdot (2x^{-2}y^2)$$ .

Accepted Answer

$$32x^4y^3$$

Answer

$$32x^2y^{-3}$$

Answer

$$32x^4y^{-3}$$

Answer

$$32x^2y^3$$

Question 18

Simplify the expression: $$\frac{9x^5y^{-3}}{3x^2y^{-1}}$$ .

Accepted Answer

$$3x^3y^{-2}$$

Answer

$$3x^7y^4$$

Answer

$$3x^3y^2$$

Answer

$$3x^7y^{-4}$$

Question 19

Simplify the expression: $$(3x^2y^{-1})^3 \cdot (x^{-3}y^2)$$ .

Accepted Answer

$$27x^3y^{-5}$$

Answer

$$27x^3y^5$$

Answer

$$27x^5y^3$$

Answer

$$27x^5y^{-3}$$

Question 20

Simplify the expression: $$\frac{(5a^3b^{-2})^2}{25a^4b}$$ .

Accepted Answer

$$a^2b^{-5}$$

Answer

$$a^5b^2$$

Answer

$$a^5b^{-2}$$

Answer

$$a^2b^5$$

Question 21

Simplify the expression: $$(x^4y^{-3})^2 \cdot (x^{-2}y^3)$$ .

Accepted Answer

$$x^8y^{-3}$$

Answer

$$x^6y^3$$

Answer

$$x^6y^{-3}$$

Answer

$$x^8y^3$$

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