Product Rules of Powers
Quotient Rules of Powers
Negative Exponents
Properties of Exponents
Miscellaneous Power Rules
100

082

There are no steps to this problem it just equals to 0 because every time you multiply 0 to something it always equals 0. There is no value so in this case 082 equals 0.

100

x5/x3

x5-3

=x2

In the quotient rules of powers when there is a sign of division you subtract the exponents that are combine alike terms. For example in this case its x over x so whatever exponents they have you subtract it. 

100

4-2/3-3

4-2/3-3

=33/42

100

2y2 * 3x

2y2 * 3x

2*3 * y2 * x

=6y2x

100

x4y3 * (2y2)0

x4y3 * (2y2)0

x4y3 * 20y0/1

=x4y3

200

4x3 * 2x3

4x3 * 2x3

4x * 2x= 8x

8x3+3

=8x6

200

x3y2/x2y5

x3y2/x2y5

x3-2 =x1

y2-5 =y-3

=x1y-3

200

(4xy)-1

(4xy)-1

4xy/1 on the 4, x, and y there is an invisible negative 1 located 

=1/4xy

200

(4r0)4

(4r0)4

4r8

=256

200

(2x0y2)-3 * 2yx3

(2x0y2)-3 * 2yx3

2-3x0y-6 * 2yx3                        0+3=3    &   -6+1=-5

2x3/8y5  =1x3/4y5

=x3/4y5

300

(x2y) * (x3y4)

(x2y) * (x3y4)

=x2+3 =x5

=y1+5 =y5

=x5y5

300

x-1/4x4

x-1/4x4

x-1-4/4 = x-5/4

= 1/4x5

300

4r-3 * 2r2

4r-3 * 2r2

8r-3+2

8r-1/1 =8/r1        r-2/d-1 =d1/r2

=8/r

300

(2x4y-3)-1

(2x4y-3)-1

2-1x-4y3/1 =y3/22x4

=y3/4x4

300

2h3j-3k4/3jk

2h3j-3k4/3jk

2h3j-3-1k4-1/3

2h3j-4k3/3

=2h3k3/3j4

400

(2x2)-4

(2x2)-4

2*2*2*2=16

1/16x+8

400

4x0y-2z3/4x

4x0y-2z3/4x

0 crosses out the 4x on the numerator and denominator 

=y-2z3/x 

=z3/xy2

400

x2y-4 * x3y2

x2y-4 * x3y2

=x2+3y-4+2

=x5y-2

=x5/y2

400

2x4y-4z-3/3x2y-3z4

2x4y-4z-3/3x2y-3z4

=2x4-2y-4-(-3)z-3-4/3 

=2x2y-1z-7/3

=2x2/3y1z7

400

(2hj2k-2 * h4j-1k4)0/2h-3j-4k-2

(2hj2k-2 * h4j-1k4)0/2h-3j-4k-2

(2h5jk2)0/2h-3j-4k-2

=h3j4k2/2

500

(2x-2y3z-4)2

(2x-2y3z-4)2

2x2x-4y6z-8

4x-4y6z-8

=4y6/x4z8

500

4m4n3p3/3m2n2p4

4m4n3p3/3m2n2p4

=4m4-2n3-2p3-4/3 =4m2np-1/3

=4m2n/3

500

4a3b* 3a-4b-3

4a3b* 3a-4b-3

12a3+(-4)b2+(-3)    

12a-1, b-1    

=12/ab

500

3x3y-1z-1/x-4y0z0

3x3y-1z-1/x-4y0z0

3x3-(-4)y-1-0z-1-0 

3x7y-1z-1/1

=3x7/yz

500

(2pm-1q0)-4 * 2m-1p3/2pq2

(2pm-1q0)-4 * 2m-1p3/2pq2

2m3/32p2q2

=m3/16p2q2