EXPONENTIALS NUMBERS

MULTIPLICATION AND DIVISION EXPONENTIAL FORM

100

WHAT IS THE ANSWER TO THIS EQUATION?

(-11.63)×⋯×(-11.63)⏟236 times

WHAT IS...

(-11.63)²⁶³

200

HOW DO YOU REWRITE THIS EQUATION IN EXPONENTIAL NOTATION USING 2 AS THE BASE?

8

WHAT IS...

2³

300

LET a AND b BE POSITIVE INTEGERS.

9⁵ X 81

WHAT IS...

9⁷

400

LET x and b BE POSITIVE INTEGERS

27⁶/27³

WHAT IS...

27³

500

LET x AND y BE POSITIVE INTEGERS AND x>y.

3²³/27

what is...

3²⁰

EXPONENTIAL FORM RAISED TO A POWER

100

simplified the expression.

(10⁹)⁶

what is...

10⁵⁴

200

simplified expression.

6³/7³

what is...

(6/7)³

300

simplified expression.

(13/16)⁹

what is... 

13⁹/16⁹

400

show prove in detail why (3x4x5)⁵

^{write down on the sheet of paper!}

what is...

3⁵x4⁵x5⁵

500

the simplified expression that is equivalent to the the given.

(163⁴ x53x33²)³

what is...

163¹²x53³x33⁶

NUMBERS RAISED TO THE ZEROTH POWER

100

finish this sentence.

for any positive number x, we define x⁰ =________

what is ...

1

200

solve this problem.

11⁷/11⁷

what is...

1

300

write in expanded form.

3x10⁶+4x10⁵+9x10⁴+2x10³+8x10²+9x10¹

what is...

34,289

400

solve.

16⁸/16⁸x16x163⁰

what is...

16

500

let A and B be two numbers. use the distributive law and the definition of zero power to show the numbers ...are they equal?

(a⁰+b⁰)a⁰

and

(a⁰+b⁰)b⁰

what is...

(a⁰+b⁰)a⁰=2

(a⁰+b⁰)b⁰=2

they are equal

NEGATIVE EXPONENTS

100

how do you make this into a positive exponential notation?

5^-6=?

what is....

1/5⁶

200

what is the vaule of... hint: make it is a positive

 (3x10^-5)

what is...

1/3⁵

300

is this equation correct?  (3/9)^-8=3^-8/9^-8

yes, this is correct

400

solve this equation.

17²⁷/17^-9

17¹⁸

500

compute for a nonzero number:

a^m x aⁿ x a^l x a^-nx a^-mx a^-lx a⁰

a⁰

PROOFS OF LAWS OF EXPONENETS

100

simplify

3⁵/3²

3³

200

simplify

6⁵ x 6⁹

6¹⁴

300

simplify this equation.

4x 5⁰x 20

what is...

80

400

FIND n SO THAT THE NUMBER SENTENCE BELOW IS TRUE

2³X4³=2³X2^N=2⁹

WHAT IS...

N=6

500

proof that this equation is correct, by using the laws of exponents.(use the WHOLE CALUCATION)

6^3mx10^m/30^m=2^3mx3^2m

6^3mx10^m/30^m

=(3.2)^3mx10^m/(3x10)^m

=3^3mx2^3mx10^m/3^mx10^m

=3^(3m-m)x2^3mx10^(m-m)

=3^2mx2^3m

=2^3mx3^2m