introduction to exponents

Evaluate Expressions

100

what is 2^-3

1/8

200

simplify 4⁰

1

300

evaluate 3² x 3^-5

9/243 or 1/27

400

5^-2 + 2^-1

27/50

500

(4⁴2^-4)²

256

Multiplication Property

100

what is the product of a³ x a²

a⁵

200

simplify 2⁴ x 2^-1

8

300

simplify x³ * x² 

x⁵

400

if b⁵ x b^-3 = b^y, what is the exponent y?

2

500

simplify x²y³ * x⁴y^-2

x⁶y

Division Property

100

evaluate 5³/5¹

25

200

simplify m⁶/m²

m⁴

300

find y , c⁴ / c² = c^y

y = 2

400

evaluate 2⁵/2^-2

128

500

x⁵y^-3/x²y²

x³/y⁵

Conversion

100

how do you express 5000 in scientific notation

5 x 10³

200

convert .00064 to scientific notation

6.4 x 10^-4

300

write 3.2 x 10³ in standard form 

3200

400

convert 7.5 x 10 ^-4 to standard form

.00075

500

express .0000012 in scientific notation

1.2 x 10^-6

mixed review

100

simplify 2³ * 2⁵

2⁸ = 256

200

convert 12,000,000,000 to scientific notation

1.2 x 10¹⁰

300

solve x³ * x^y = x⁷

y = 4

400

a light year is approximately 5.88 x 10¹² miles. express this distance in standard form. 

5,880,000,000,000

500

express .01 as a power of 10 

10^-2