Problem 1 :
Simplify :
2m2 ⋅ 2m3
Problem 2 :
Simplify :
m4 ⋅ 2m-3
Problem 3 :
Simplify :
(4a3)2
Problem 4 :
Simplify :
(x3)0
Problem 5 :
Simplify :
4a3b2 ⋅ 3a4b3
Problem 6 :
Simplify :
r2/2r3
Problem 7 :
Simplify :
4x0y2z3 / 4x
Problem 8 :
Simplify :
(2xy4)4(xy)5
Problem 9 :
Simplify :
x-4 / x-9
Problem 10 :
Simplify :
x-1 / 4x4
Problem 11 :
Simplify :
(x2y-1)4
Problem 12 :
Simplify :
x2y3 ⋅ x3y2
Problem 1 :
Simplify :
2m2 ⋅ 2m3
Solution :
2m2 ⋅ 2m3 = 2m2 ⋅ 2m3
2m2 ⋅ 2m3 = 4m(2+3)
2m2 ⋅ 2m3 = 4m5
Problem 2 :
Simplify :
m4 ⋅ 2m-3
Solution :
m4 ⋅ 2m-3 = m4 ⋅ 2m-3
m4 ⋅ 2m-3 = 2m(4 - 3)
m4 ⋅ 2m-3 = 2m1
m4 ⋅ 2m-3 = 2m
Problem 3 :
Simplify :
(4a3)2
Solution :
(4a3)2 = 42(a3)2
(4a3)2 = 16a(3)(2)
(4a3)2 = 16a6
Problem 4 :
Simplify :
(x3)0
Solution :
(x3)0 = 1
Problem 5 :
Simplify :
4a3b2 ⋅ 3a4b3
Solution :
4a3b2 ⋅ 3a4b3 = 12a3+4b2+3
4a3b2 ⋅ 3a4b3 = 12a7b5
Problem 6 :
Simplify :
r2/2r3
Solution :
r2 / 2r3 = r2 / 2r3
r2 / 2r3 = (1/2) r(2-3)
r2 / 2r3 = (1/2) r-1
r2 / 2r3 = 1 / 2r
Problem 7 :
Simplify :
4x0y2z3 / 4x
Solution :
4x0y2z3 / 4x = 4(1)y2z3 / 4x
4x0y2z3 / 4x = y2z3 / x
Problem 8 :
Simplify :
(2xy4)4(xy)5
Solution :
(2xy4)4(xy)5 = 24x4 (y4)4 x5 y5
(2xy4)4(xy)5 = 16x4y16x5y5
(2xy4)4(xy)5 = 16x(4+5)y(16+5)
(2xy4)4(xy)5 = 16x9y21
Problem 9 :
Simplify :
x-4 / x-9
Solution :
x-4 / x-9 = x-4 / x-9
x-4 / x-9 = x(-4 + 9)
x-4 / x-9 = x5
Problem 10 :
Simplify :
x-1 / 4x4
Solution :
x-1 / 4x4 = (1/4)x-1-4
x-1 / 4x4 = (1/4)x-5
x-1 / 4x4 = 1/4x5
Problem 11 :
Simplify :
(x2y-1)4
Solution :
(x2y-1)4 = (x2)4(y-1)4
(x2y-1)4 = x8y-4
(x2y-1)4 = x8 / y4
Problem 12 :
Simplify :
x2y3 ⋅ x3y2
Solution :
x2y3 ⋅ x3y2 = x2+3y3+2
x2y3 ⋅ x3y2 = x5y5
x2y3 ⋅ x3y2 = (xy)5
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