Free Printable GGG Unit Test Part 2

1.

Which is GREATER,
$2^7\ or\ 7^2$ ?

a)

$2^7$

b)

$7^2$

c)

Neither, they are equal.

2.

$4^3\cdot4^5$

a)

$4^8$

b)

$4^{15}$

c)

$16^8$

d)

$16^{15}$

3.

$m^4\cdot m$

a)

$m^4$

b)

$m^5$

c)

$2m^4$

4.

Simplify $4x^2y^2\cdot3x^{-6}y\cdot2xy^3$

a)

$12x^{-4}y^5$

b)

$24x^{-4}y^5$

c)

$12x^{-3}y^6$

d)

$24x^{-3}y^6$

5.

Simplify $\frac{5^8}{5^3}$

a)

$1^5$

b)

$5^5$

c)

$5^{2.\overline{6}}$

d)

$1^{2.\overline{6}}$

6.

Simplify $\frac{a^4b^2}{a^2b^6}$

a)

$a^2b^{-4}$

b)

$a^2b^4$

c)

$\frac{1}{a^2b^4}$

d)

$\frac{a^2}{b^4}$

7.

Simplify $\frac{12m^{-5}}{6m^5}$

a)

$2$

b)

$2m^{0\ }=1$

c)

$2m^{-10}$

d)

$\frac{2}{m^{10}}$

8.

Choose the expression which represents the simplest form of $\frac{2x^3y^{-2}}{4x^5y^6}$

a)

$\frac{1}{2}x^{-2}y^4$

b)

$\frac{1}{2x^2y^4}$

c)

$\frac{1}{2x^2y^8}$

d)

$-2x^{-2}y^{-8}$

9.

Write with a positive exponent $x^{-3}$

a)

$x^3$

b)

$\frac{1}{x^{-3}}$

c)

$\frac{1}{x^3}$

d)

None of the above

10.

Simplify $3m^{-4}\cdot m^4$

a)

$3m$

b)

$1$

c)

$3m^{-8}$

d)

$3$

11.

Write with a positive exponent $\frac{1}{5^{-2}}$

a)

$\frac{1}{5^2}$

b)

$5^2$

c)

$5^{-2}$

d)

None of the above

12.

Choose the expression which represents the simplest form of $\left(3x^4y^6\right)^0$

a)

$3$

b)

$3x^4y^6$

c)

$0$

d)

$1$

13.

Choose the expression which represents the simplest form of (2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

14.

Choose the expression which represents the simplest form of $\left(-4x^2\right)^3$

a)

$-64x^5$

b)

$-64x^6$

c)

$64x^6$

d)

$64x^5$

15.

Write in scientific notation $0.0000324$

a)

$324\times10^{-4}$

b)

$3.24\times10^4$

c)

$3.24\times10^5$

d)

$3.24\times10^{-5}$

16.

Write in scientific notation $78,200,000$

a)

$7.82\times10^7$

b)

$782\times10^5$

c)

$7.82\times10^5$

d)

$782\times10^7$

17.

Write in standard form $1.25\times10^{-3}$

a)

$125000$

b)

$0.00125$

c)

$0.000125$

d)

$0.125$

18.

Write in standard form $6.54\ \times10^4$

a)

$6,540$

b)

$6,540,000$

c)

$0.000654$

d)

$65,400$

19.

Simplify and write your answer in scientific notation $\left(3\times10^4\right)\times\left(5\times10^6\right)$

a)

$1.5\times10^{11}$

b)

$15\times10^{10}$

c)

$15\times10^{24}$

d)

$1.5\times10^{10}$

20.

Simplify and write your answer in scientific notation $\frac{35\times10^{12}}{7\times10^3}$

a)

$5\times10^4$

b)

$50\times10^4$

c)

$50\ \times10^9$

d)

$5\times10^9$

GGG Unit Test Part 2

Total questions: 20

Worksheet time: 5hrs 0mins

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