Free Printable Powers

1.

\left[\left\{\frac{1}{3}\right\}^{-2}-\left\{\frac{1}{2}\right\}^{-3}\right]\div\left\{\frac{1}{4}\right\}^{-2}

a)

16

b)

$\frac{1}{16}$

c)

0

d)

Not defined

2.

The value of $\left\{\frac{5}{8}\right\}^{-2}\div\left\{\frac{5}{8}\right\}^0$

a)

1

b)

$\frac{25}{64}$

c)

$\frac{64}{25}$

d)

$\frac{5}{8}$

3.

$The\ value\ of\ 2^5\div2^{-6}\ is\ _{ }$ ___________

a)

$2^{11}$

b)

$2^{-1}$

c)

- 2

d)

0

4.

Express $4^{-3}$ as a power with the base 2.

a)

$2^3$

b)

$4^{-2}$

c)

$2^{-3}$

d)

$2^{-6}$

5.

Simplify and write the answer in exponential form: $\left(2^5\div2^8\right)^5\times2^{-5}$

a)

$2^{20}$

b)

$\frac{1}{2^{20}}$

c)

0

d)

$2^{-10}$

6.

Find 'm' so that $\left(\ -3\ \right)^{m+1}\times\left(-3\right)^5=\left(-3\ \right)^7$

a)

2

b)

1

c)

-1

d)

-2

7.

The standard form of 149,600,000,000 is _________

a)

$14.96\times10^{10}$

b)

$1.496\times10^{11}$

c)

$1.496\times10^{-10}$

d)

$1.496\times10^{-11}$

8.

The usual form of $2\times10^{-5}$ is _________

a)

0.0002

b)

0.00002

c)

0.20000

d)

0.0000002

9.

Express the number appearing in the given statement in standard form.

The average diameter of a red blood cell is 0.000007 mm

a)

$7\times10^6mm$

b)

$7\times10^{-6}mm$

c)

$7\times10^5mm$

d)

$7\times10^{-5}mm$

10.

Mass of Earth is $5.97\times10^{24}$ kg and the mass of moon is $7.35\times10^{22}$ kg. What is the total mass?

a)

$13.32\times10^{46}kg$

b)

$67.05\times10^{23}kg$

c)

$604.35\times10^{22}kg$

d)

$604.35\times10^{22}kg$

Powers

Total questions: 10

Worksheet time: 15mins

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