Exponents & Scientific Notation

Product

100

rewrite the expression 

a^.a^.a^.a^.a^.b^.b^.b^.b^.b^.b^.b

a⁵b⁷

200

write in simplest form

3x^9.6x⁴

18x¹³

300

What if the Coefficient are not the same?

you multiply them

400

how do you find an answer to a product rule problem? 

multiply coefficients if there not the same and add exponents

500

write in simplest form

-5x⁶y^2.3x²y³

-15x⁸y⁵

Quotient

100

write in simplest form

X²⁰/X⁷

X¹³

200

what do you do with the exponents

You subtract them  

300

How do you find an answer to a Quotient problem 

You divide the coefficient and subtract the exponents

400

write in simplest form

35x¹⁴/7x5

5x⁹

500

write in simplest form

72k⁸y¹⁰/9k⁶y⁵

8k²y⁵

Add Scientific

100

Write it in scientific notation

45,000

4.5x10⁴

200

Find it in number form 

1.2x10³

1,200

300

Write it in scientific notation

122,000,000

1.22x10⁸

400

write in scientific notation

35,500,000,000,000

3.55x10¹²

500

Write it in scientific notation

1,260,000,000,000,000,000,000

1.26x10²¹

Subtract Scientific

100

Write it in scientific notation

0.000014

1.4x10^-5

200

Write in number form 

5.5x10^-7

0,0000005.5

300

 write in scientific notation 

0,00000019

1.9x10^-7

400

 where do you move the decimal to find Scientific Notation(Subtract )

move the point to the right until there's no zeros 

left

500

Write it in scientific notation

0,000000000126

1.26x10¹⁰

Random

100

Write it in scientific notation

14,000

1.4x10⁴

200

write in simplest form 

100x⁵⁰/25x³⁰

4x²⁰

300

how do you find the scientific notation of a number?

Move the decimal to the left or right until there's no zeros beside it.

Move left= Negative Exponent

Move right= Positive Exponent

400

12x⁵y^9.8x³y⁸

96x⁸y¹⁷

500

144x⁸⁵y⁵⁰/12x²⁵y³⁴

12x⁶⁰y¹⁶