Exponents Review

Zero & Negative Power Rule

100

Any thing raised to a zero power is equal to_____.

What is one ? 

200

x^-5 =

What is 1/x⁵?

300

2a^-13=

What is

2/a^13

?

400

(14⁰5^-3) =

What is 1/125? 

500

(6⁰)(2^-3)(x^-15) =

What is 1/8x¹⁵ ?

Product & Quotient Rule

100

If I am multiplying numbers with the same base I should _____ the exponents.

What is add? 

200

If I am dividing numbers with the same base I Should _____ the exponents.

What is subtract? 

300

(10x¹¹)(9x¹²)=

What is 90x²³?

400

(15x²y⁵z⁶)(x¹¹y⁹z³) = 

What is (15x¹³y¹⁴z⁹)?

500

(6a¹⁰b²³c⁹)/(2a⁷b¹²c⁵) =

What is 3a³b¹¹c⁴?

Power of a Power Rule

100

(n²)⁴ =

What is n⁸?

200

(2x)⁴

What is 16x⁴?

300

The side length of a square is 3n³.  Find the area of the square by using power to a power rule.

What is (3n³)² = 9n⁶

400

(5x²y³)² =

What is 25x⁴y⁶ ?

500

Simplify so that there are no negative exponents.

(4x^-2)² = 

What is 16/x⁴ ?

Scientific Notation

100

Write this number in scientific notation.

723,500,000,000

What is 7.235 x 10¹¹ ?

200

Write this number in standard form.

5.46 x 10⁵

What is 546,000?

300

Write this number in scientific notation.

0.00004562

What is 4.562 x 10^-5 ?

400

Write this number in standard form.

8.76 x 10^-4

What is 0.000876 ? 

500

Solve both.  Leave your answers in scientific notation.

(2.3 x 10³) (1.5 x 10⁴)

(9.0 x 10¹⁰) / (3.0 x 10⁴)

What is 3.45 x 10⁷ and 3.0 x 10⁶ ?

True or False

100

TRUE OR FALSE

5² x 5⁴ = 5⁸

What is FALSE?

200

TRUE OR FALSE 

(4³)⁵ = 4¹⁵

What is TRUE ? 

300

TRUE OR FALSE 3¹⁰ / 3⁵ = 3²

What is FALSE? 

400

TRUE OR FALSE 

(4p²d⁶)²= 8p⁴d¹²

What is FALSE ? 

500

5³ x 2³ = 10³

What is TRUE ?