Exponents and Scientific Notation

Exponent Properties

100

Simplify the expression.

5³ * 5⁸

5¹¹

200

Simplify the expression.

(4a³)²

16a⁶

300

Simplify the expression.

5k⁴ * 4k

20k⁵

400

Simplify the expression.

m⁴ * 2m^-3

2m

500

Simplify the expression.

2x³y^-3 * 2x^-1y³

4x²

Exponent Properties 2

100

Simplify the expression.

 7¹³

___

 7⁶

7⁷

200

Simplify the expression.

(3m)^-2

  1 

____

9m²

300

Simplify the expression.

7c^-4

^_____

  c³

  7

____

  c⁷

400

Simplify the expression.

4m⁴n³p³

_______

3m²n²p⁴

4m²n

_____

  3p

500

Simplify the expression.

2h³j^-3k⁴

_______

   3jk

2h³k³

_____

  3j⁴

Scientific Notation

100

Write this number in standard form.

4.5 x 10³

4500

200

Write this number in scientific notation.

0.07882

7.882 x 10^-2

300

Write this number in scientific notation.

118,000

1.18 x 10⁵

400

Write this number in Standard form.

6.64 x 10^-7

0.000000664

500

Write this number in scientific notation.

0.00002786

2.786 x 10^-5

Operations with Scientific Notation

100

Evaluate and write your answer in Scientific Notation.

(1.12 x 10^-5)(3 x 10⁷)

3.36 x 10²

200

Evaluate and write your answer in Scientific Notation.

5 x 10⁷

_______

2.63 x 10^-2

1.901 x 10⁹

300

Evaluate and write your answer in Scientific Notation.

(9 x 10³)(1.14 x 10⁸)

1.026 x 10¹¹

400

Evaluate and write your answer in Scientific Notation.

(2 x 10⁴)(8.21 x 10³)

1.642 x 10⁸

500

Evaluate and write your answer in Scientific Notation.

7.1 x 10⁶

________

8.2 x 10⁵

8.658 x 10⁰