Yes or No
Multiplication
Division
What is the base?
The Power of 0
100

Can it be combined?   x * x^4 

Yes.  The exponents CAN be combined, because they have the same Base.

100

5^2 * 5^3 =

5^5

100

 (x^5)/(x^2) =

(x^3)/(1)     or   x^3

100

What is/are the base(s)? 5^2/5^7 

The base is 5

100

x^2*x^0=

x^2

200

Can it be combined?   x^7 * x^4

Yes.  The exponents CAN be combined, they have the same Base.

200

7^4 * 7^4 * 7^2=

7^10


200

(x^2*y)/(x^2) =

y

200

What is/are the base(s)?     2^4*5^3 

The bases are 2 and 5

200

3*x^3 * x^0 * x= 

3x^4

300

Can it be combined?  x^2 *y^2 

No.  The exponents CAN NOT be combined, they do not have the same Base.

300

2*y^4 * y^6 * y^3 = 

2y^13

300

(3*x^2*y) / (5*x^8) =

(3y)/(5x^6)

300

What is/are the base(s)? 3^2*3^4*3^6 

The base is 3

300

 x^2/x^0= 

 x^2

400

Can it be combined?  x^2 /x^4 

Yes.  The exponents can be combined, they have the same Base.

400

2^4 * 2^2 * x^5 * x^3 = 

2^6 * x^8


400

(x^5*y^16) / (x^4*y^6) =

x*y^10

400

What is/are the base(s)?  8^2*8^2

The bases are 8

400

(x^6*y^2)/(x^0)=

x^6*y^2

500

Can it be combined?   (2*y^2)/(3*x^2) 

No.  The exponents cannot be combined, they do not have the same Base.

500

3* y^4 * y^9* x^3 *x^2 =

3* y^13 *x^5 =

500

(5*x^2*y^12) / (2*x^10*y^6) =

(5y^6) / (2x^8)

500

What are the bases?      x^2*y^2*z^2 

The bases are x, y, and  z

500

 (x^4 * y^0) / (x^0 * y^3)=

x^4/y^3

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