Test: Indices - Challenging

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Question 1:   Solve: 4 2 + 3 2 5 2
0
1
1 2 5
1 3 5
Question 2:   Solve: ( 6 3 :2 3 ) 2
9
18
3
27
Question 3:   Solve: ( ( 5 ) 2 ) ( 1 5 ) 1
25
25
5
5
Question 4:   Simplify: ( x 2 + x 3 )( x 4 x 5 )
2 x 2 +x
x 4
x 6 x 8
x 4 x 3
Question 5:   Simplify: ( x 8 x 15 )( x 2 x 5 )
1 x 10
1 x 5
1 x 2
1 x 3
Question 6:   Solve: 25 1 2 + 16 1 2 + 9 1 2 36 1 2
6
2 6
9
5
Question 7:   Solve: ( ( 27 2 3 27 2 3 )( 1 ) ) 13
1
3
1
0
Question 8:   If 2 x =1024 , find x
x=10
x=6
x=12
x=8
Question 9:   If 6 3x+5 = 36 x+1 , find x
x=6
x=3
x=6
x= 1 3
Question 10:   If 2 2x5 128 x+1 =0 , find x
x=13
x= 4 5
x=4
x=2 2 5