Free Printable Laws of Exponents and Scientific Notation

1.

Expand the following expression:
$7^4$

a)

$7\times4$

b)

$7\times7\times7\times7$

c)

$7+4$

d)

$7+7+7+7$

2.

Expand the following expression:
$\left(x^3\right)^3$

a)

$x\times x\times x\times x\times x\times x\times x\times x\times x$

b)

$x\times x\times x\times x\times x\times x$

c)

$x\times3$

d)

$x\times6$

3.

Expand the following expression:
$\left(n^3k\right)^2$

a)

$n\times3\times k\times2$

b)

$n\times n\times n\times k\times n\times n\times n\times k$

c)

$n\times n\times n\times k\times k\times k$

d)

$n\times k\times n\times k$

4.

$5^3$

Evaluate the exponent:

a)

15

b)

125

c)

25

d)

225

5.

$x^9\times x^7$
Evaluate the exponent

a)

$x^{63}$

b)

$x^2$

c)

$x^{16}$

d)

$x^{10}$

6.

What is 6,300,000 in scientific notation?

a)

$.63\times10^7$

b)

$6.3\times10^6$

c)

$6.3\times10^5$

d)

$6.0\times10^7$

7.

$2\times10^5$
What is this value in standard notation?

a)

20,000

b)

2,000

c)

200

d)

200,000

8.

$\frac{6m^4n^4}{4m^2n^2}$

Evaluate and simplify!

a)

$\frac{3m^2n^2}{2}$

b)

$3m^2n^2$

c)

$\frac{3mn}{2}$

d)

$3mn$

9.

$3^3$
Evaluate the exponent.

a)

9

b)

25

c)

27

d)

3

10.

What is 0.009 in scientific notation?

a)

$9\times10^{-3}$

b)

$9\times10^3$

c)

$9\times10^{-2}$

d)

$9\times10^2$

Laws of Exponents and Scientific Notation

Total questions: 10

Worksheet time: 21mins

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