Lesson 1 : Laws of Exponents - Exam

UNIT 1 - NUMBERS AND OPERATIONS

Lesson 1 : Laws of Exponents (Power of Power) - Exam

1$2^3 \times 2^4$ = ...

A$2^7$

B$2^{12}$

C$4^7$

D$8^7$

2$5^6 \div 5^2$ = ...

A$5^3$

B$5^4$

C$5^8$

D$5^{12}$

3$(3^2)^3$ = ...

A$3^5$

B$3^6$

C$9^6$

D$3^9$

4$(2x)^3$ = ...

A$2x^3$

B$8x^3$

C$6x^3$

D$8x$

5$7^0$ = ...

Dundefined

6$4^{-2}$ = ...

A-8

B1/8

C1/16

D16

7$(-2)^4$ = ...

A16

B-16

D-8

8$(-2)^3$ = ...

B-8

D-6

9$x^5 \times x^{-2}$ = ...

A$x^3$

B$x^7$

C$x^{-10}$

D$x^{10}$

10$(1/2)^{-2}$ = ...

A1/4

C-4

11$p^6 \div p^2 \times p^3$ = ...

A$p^7$

B$p^{11}$

C$p^5$

D$p^9$

12$(2x^2y)^3$ = ...

A$2x^6y^3$

B$8x^6y^3$

C$6x^6y^3$

D$8x^5y^3$

13$(a^2b^3)^2 \div (ab)^2$ = ...

A$a^2b^4$

B$a^4b^6$

C$a^6b^8$

D$a^2b^2$

14$(5a^2b^3)^0$ = ...

Dundefined

15$9m^4n^2 \div (3mn)^2$ = ...

A$m^2$

B$3m^2$

C$m^2n^2$

D$9m^2$

16If $2^x = 32$, then x = ...

D16

17If $3^x = 243$, then x = ...

18If $(5^x)^2 = 625$, then x = ...

19If $4^x \div 4^2 = 16$, then x = ...

20$10^{-1}$ = ...

A-10

B0.1

C10

D-0.1

Free Response

1. Simplify: a) $(3a^2b)^2 \times (2a)^3$ b) $(2x^2y)^2 \times (xy^2)^3 \div (x^3y^3)$

2. Find x: a) $2^{x+1} = 32$ b) $9^x \times 9 = 729$

3. A bacteria culture doubles every hour, starting at 250. Find the count after 6 hours.

4. Simplify $\dfrac{(2a^2b)^3 \times (3ab^2)^2}{6a^5b^4}$.