What Am I?
Product or Quotient
Power (to the Power!)
Zero (the hero) or One
Negative Nancy
100

The BASE of this number is:  

5^7

The BASE is 

5

100

When I Have Product of Powers , I ...  

3^2 * 3^4 = ?

When I Have Quotient of Powers , I ...

(3^6) / (3^2) = ?

 

When I Have Product of Powers , I ADD Powers

3^(2+4) = 3^6

 When I Have Quotient of Powers , I SUBTRACT Powers  

3^(6-2) = 3^4

100

When I have Powers to Powers , I ... 

(x^3)^2 = ?

 

When I have Powers to Powers , I MULTIPLY Exponents

x^(3*2) = x^6

100

(Any Base) ^ 0 = ?

(Any Base )^ 1 = ?

(AnyBase)^ 0 = 1

(AnyBase)^1 = Base

100

When I have Negative Exponents, I ...

x^-4 = ?

 


When I have Negative Exponents, I convert to a fraction. 

x^-4 = 1/(x^4)

200

The EXPONENT of this number is:  

10 ^ 5


The EXPONENT of this number is : 

5

200

Simplify : 

x^3 * x^5

x^(3+5) = x^8

200

Simplify : 

(7^2)^9


7^(2*9) = 7^18

200

Simplify :

7^0

7^0 = 1

200

Simplify :

4^(-5)

 

(4^-5) = 1/(4^5)

300

The BASE of this number is: 

X^5

The BASE of this number is 

X

300

Simplify :

10^6 * 10 ^5

10^(6+5) = 10^11

300

(x^5)^6

x^(5*6) = x^30

300

Simplify :  

9 ^ 1

9^1 = 9

300

Simplify : 

(-4)^-3 = ?

(-4)^-3 = 1/((-4)^3

400

The EXPONENT of this number is: 

205^14

The EXPONENT of this number is : 

14

400

Simplify : 

17^8 / 17^2

17 ^(8-2) = 17^6

400

Simplify : 

[(2^3)^3]^2

2^(3*3*2) = 2^18

400

-x^0

-1

400

Simplify : 

1/x^-2 = ?

(1/x^-2) = x^2

500

What Am I? 

x^4

A Power 

Power = Base^("Exponent")

500

Simplify: 

(39x^8y^5) / (3x^3y)

(39/3) * x^(8-3) * y^(5-1) = 13x^5 y^4

500

Simplify : 

[((x^3)^2)^7]

= x^ (3*2*7) = x^42

500

-7^1

-7

500

Simplify : 

(3^-5) / (3^-3) = ?

(3^-5) / (3^-3) = 3^3 / 3^5 = 3^(3-5) = 3^(-2) = 1/3^2

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