Exponents: Jeopardy Project

product rule of powers

100

2¹+5⁶

3127

200

(2⁴+3⁷)

2203

300

(3⁷+4⁶)+7⁸

5,771,084

400

(4²+2⁴)(4³+6⁷)

8,960,000

500

(4⁵+4⁵)+(7⁵+4²)

18,871

Quotient rules of powers

100

3²/3

3

200

3²*2⁶/3

192

300

4⁷*8⁶/4⁵*8³

32

400

6⁴5⁹2⁷/5⁶4³2⁹

632.8

500

7¹8⁸7⁴/6^-58⁷7¹⁵

0.0002

Negative Exponents

100

2^-1/3⁶

1/1458

200

2¹*4^-6/4^-7

8

300

3⁴*3^-8/9^-14

6.16733963*10¹⁴

400

4^-6*4⁵*5^-4

^{_____________________________}

5^-2*6^-7

1/27,993,600

500

5^-2*2^-6/3^-3

1/4320

properties of Exponents (combination of rules)

100

(2⁶+3³)5

6240321451

200

(2⁴+3⁷)(4⁶)^-6

Scientific Notation

4.66503*10^-19

300

(-5^-7+6⁷)²/6^-1*7³

Scientific Notation

1.3708*10⁹

400

3⁷+4⁶+(48)³/5^-7*4^-6

Scientific Notation 

9.0072*10²²

500

-4⁶+5^-7(4³+4⁶)⁸/(6^-7+7⁴+4⁷)⁸

non-simplified version 

-3200000000*6⁵⁶+65⁸*2⁴⁸*6⁵⁶/(1+42*252³+24⁷)(5+210*252³+5*247)⁷

Miscellaneous Power Rules

100

4⁶*7⁴*4²

40, 282, 095, 616

200

4^-6*4^-3*5⁴

0.00238419

300

5⁴*5⁶/(5^-10)^-4

Scientific Notation

8.88178*10³⁴

400

8⁴*8^-6*8²/8^4*5*6^-7*4

5326.41831

500

1⁰+6¹⁴+7^-6*-4/133⁰+6¹+7^-5*17

100842+16807*6¹⁵+6*7^-6+1/7⁶+102