Ch. 4 Powers and Roots

Multiply

100

3⁵ x 3^-2

3³

200

m³ x m⁶

m⁹

300

(-7) x (-7)⁴

(-7)⁵

400

(2h⁷)(6h)

12h⁸

500

(5a^-3)(-6a⁴)

-30a

Divide

100

9⁴/9⁵ 

Write with positive exponent

1/9

200

k¹⁰/k⁴

k⁶

300

n¹⁵/n⁹

n⁶

400

70x⁶/-7x⁸

-10/x²

500

Venus is about 10⁸ kilometers from the Sun. Saturn is about 10⁹ kilometers from the Sun. About how many times farther from the Sun is Saturn than Venus?

About 10 times

Negative Exponents

100

Write using a positive exponent:

9^-4

1/9⁴

200

Write using a positive exponent

1/(-4)^-3

(-4)³

300

Write using a negative exponent:

1/6³

6^-3

400

Write using a negative exponent:

1/243

3^-5

500

One millimeter equals 0.001 meter. Write the decimal using a positive exponent.

1/10³

Scientific Notation

100

Express in standard form:

5.82 x 10³

5820

200

Express in scientific notation:

0.000561

5.61 x 10^-4

300

(2.4 x 10³)(2 x 10⁵)

4.8 x 10⁸

400

(4.45 x 10⁹)(1.3 x 10⁶)

5.785 x 10¹⁵

500

(5.85 x 10⁵)/(3.9 x 10^-6)

1.5 x 10¹¹

Roots

100

Square root of 169

13, -13

200

Cubed root of 729

9

300

Cubed root of -64

-4

400

Estimate to the nearest integer:

Cubed root of 415

7

500

Solve for y:

4y²=5.76

1.2, -1.2