Exponents Review

Rules

100

When Multiplying powers, _______ the exponents.

Add

200

When dividing powers, _______ the exponents.

Subtract

300

When raising a power to a power, ______ the exponents.

Multiply

400

DAILY DOUBLE

When multiplying powers, ______ the coefficients. When dividing powers, _______ the coefficients.

Multiply, Divide/simplify

500

How do you simplify a negative exponent? Come up with an example.

Move the negative exponent and its base to the opposite side of the fraction

Multiplication Powers

100

x⁴x⁹

x¹³

200

(2x⁴)(5x⁹)

10x¹³

300

(x⁴x⁹)²

x²⁶

400

(2x⁴x⁹)³

8x³⁹

500

(-7x⁰y³)(2x⁵y^-1)

-14x⁵y²

Division Powers

100

x⁹/x⁴

x⁵

200

x⁴/x⁹

1/x⁵

300

4x⁴/12x⁸

1/x⁴

400

x⁷y⁶/x^-4y

x¹¹y⁵

500

(4x³y^-3/3x^-2y⁸)²

16x¹⁰/9y²²

Combination Powers

100

(10p⁴m³)(8pm²)

80p⁵m⁵

200

3x²/9x⁵

1/3x³

300

DAILY DOUBLE 

3^-2x⁹y⁰/x^-3

x¹²/9

400

-4x⁸y^-2/2y^-2

-2x⁸

500

(2x³y^-3)³(3x^-1y³)

24x⁸/y⁶

Scientific Notation

100

TRUE/FALSE

When multiplying and dividing in scientific notation, the exponents must be the same.

FALSE

200

CHANGE TO SCI. NOTATION

12.9 x10^-3

1.29 x10^-2

300

TRUE/FALSE

When adding and subtracting numbers in scientific notation, the exponents will stay the same. 

TRUE unless the final answer needs to be further changed to a number between 1-10

400

6.8 x10⁵ - 2.9 x10³

6.771 x10⁵

500

The diameter of Jupiter is 16 x10³ miles. The diameter of Neptune is 12 x10² miles. How many times larger than Neptune is Jupiter? 

Change final answer as standard notation and round to the nearest whole number.

13.3 miles or approx. 13 rounded