Math Inquiry project #3

Operations with Exponents

100

What does 4³ + 5² + 6⁰ equal to ? 

90 

200

What does 2³ x 4⁰  equal to ?

32

300

What does 3⁷ / 3⁰  equal to ?

729

400

What does 0⁶ + 9³ equal to ?

729

500

What does (6² / 3⁰ )(-3 x 2)+2³  equal to ?

Extra 500 points if the answer is correct

-208

because, (36/1) x (-6) + 8

                  36 x -6 + 8

                    -216 + 8 

                      = -208

                        

Negative Exponents

100

What does 5^-2 equal ?

0.04

200

What does 20^-2 equal ?

0.0025

300

What does 2^-5 equal ?

0.03125

400

What does 8^-1 equal ?

0.125

500

What does 4^-3  equal ?

0.015625

Positive Roots & Exponents

100

What is the cube root of 729 ?

9

200

Bonus Square 

200 points for free!

300

What is the square root of 289 ?

17

400

What is 7 to the 6th power ?

117649

500

What is 6 to the 8th power ?

1679616

Exponents with Fraction Bases

100

2/3 to the power of three equals ....

8/27

because 2/3 times 2/3 equals 4/9 and 4/9 times 2/3 equals 8/27. 

200

1/4 to the power of 2 equals ......

1/16

300

2/3 to the power of 3 is ...

8/27

400

1/2 to the 4th power equals .......

1/16

500

4/5 to the 2nd power is ....... 

16/25

 

Exponents with Decimal Bases

100

0.2 to the power of 0 is .....

1

200

0 to the power of zero is .....

undefined

because 0 to the 0th power is undefined.

300

0.4 to the 3rd power is ....

0.064

400

0.3 to the 4th power equals ......

0.0081

500

0.03 to the 3rd power equals ...

0.000027