Free Printable Unit 1b Review

1.

Write an equivalent expression for $x^5\cdot x^8$ . Write your answer as a power

a)

$x^{13}$

b)

$13$

c)

$x^{40}$

d)

$x^3$

2.

Write an equivalent expression for $\left(7^{-4}\right)^6$ . Write your answer as a power.

a)

$7^2$

b)

$7^{-10}$

c)

$7^{-24}$

d)

$7^{10}$

3.

Write an equivalent expression for $\left(5c^5\right)\left(7c^2\right)$ . Write your answer as a power.

a)

$12c^{10}$

b)

$35c^{10}$

c)

$12c^7$

d)

$35c^7$

4.

Write an equivalent expression for $\frac{a^4b^{10}}{a^2b^3}$ . Write your answer as a power.

a)

$a^6b^{13}$

b)

$a^2b^7$

c)

$a^2b^{3.\overline{3}}$

d)

$2\cdot7$

5.

Write an equivalent expression for $\left(8v\right)^7$ . Write your answer as a power.

a)

$8v^7$

b)

$8^7v$

c)

$56v^7$

d)

$8^7v^7$

6.

Write $\frac{1}{n^{-2}}$ with positive exponents.

a)

$n^2$

b)

$2$

c)

$\frac{2}{n}$

d)

$\frac{12}{n}$

7.

Write $12^{-5}$ with positive exponents.

a)

$\frac{12}{5}$

b)

$\frac{1}{12^5}$

c)

$\frac{5}{12}$

d)

$7$

8.

Evaluate the expression $\left(-100\right)^0$ .

a)

$-100$

b)

$100$

c)

$1$

d)

$-1$

9.

Evaluate the expression $-3^0$ .

a)

$-1$

b)

$-3$

c)

$3$

d)

$1$

10.

Evaluate $18f^2$ when $f=2$ .

a)

$648$

b)

$22$

c)

$20$

d)

$72$

11.

In 2017, the population of Smithville was about 9,798. Write the estimated population as a single digit times a power of 10.

a)

$9\times10^4$ people

b)

$1\times10^4$ people

c)

$9\times10^3$ people

d)

$1\times10^3$ people

12.

An ant weighs about 0.00000225 kilograms. What is the estimated weight as a single digit times a power of 10?

a)

$2\times10^{-5}$ kilograms

b)

$3\times10^{-6}$ kilograms

c)

$2\times10^{-6}$ kilograms

d)

$3\times10^{-5}$ kilograms

13.

The weight of a blue whale is $3.3\times10^5$ pounds. The weight of a humpback whale is $6.6\times10^4$ pounds. The weight of the blue whale is how many times greater than the weight of a humpback whale? Write your answer in scientific notation.

a)

$5\times10^{-1}$

b)

$5$

c)

$5\times10^0$

d)

$0.5$

14.

Write $52,850,000,000$ in scientific notation.

a)

$5.285\times10^7$

b)

$5\times10^7$

c)

$5.285\times10^{10}$

d)

$5\times10^{10}$

15.

Write $0.000327$ in scientific notation.

a)

$3.27\times10^{-4}$

b)

$3.27\times10^{-3}$

c)

$3.27\times10^{-2}$

d)

$3.27\times10^4$

16.

Write $1.276\times10^5$ in standard form.

a)

$0.00001276$

b)

$127,600,000$

c)

$100,000$

d)

$127,600$

17.

Write $3.4\times10^{-3}$ in standard form.

a)

$3,400$

b)

$0.00034$

c)

$0.0034$

d)

$34,000$

18.

Solve: $\frac{6\times10^6}{2\times10^3}$

a)

$12\times10^3$

b)

$3\times10^9$

c)

$1.2\times10^4$

d)

$3\times10^3$

19.

Solve: $\left(2.1\times10^2\right)\left(4\times10^4\right)$

a)

$4.021\times10^4$

b)

$8.4\times10^6$

c)

$5.25\times10^{-3}$

d)

$3.979\times10^4$

Unit 1b Review

Total questions: 19

Worksheet time: 57mins

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