Variable substitution
x=?
Name the mistake
Exponent Laws part 1
Exponent Laws part 2
100

5x

x=3

15

100

b3(bx)=b7

4

100

x5x7=x35

Multiplied exponents

x12

100

x4x3x5

x12

100

(1/3)2

1/9

200

3+4a

a=-5

-17

200

(b5)x=b40

8

200

(24)(34)= 64

Multiplied bases and kept exponents

1,296

200

x6y9/x5y4

xy5

200

(7x3y5)2

49x6y10

300

xy-y

x=3, y=-4

-8

300

2= 0.125

-3

300

43+42=45

Used the multiplication law on addition

80

300

24+32

25

300

-8(xy3)0

-8

400

7y3+2y

y=-2

-60

400

b3/bx=b9

-6

400

(5b2)(2b6)= 7b8

Added coefficients, rather than multiplied

10b8

400

(35)8

340

400

(x4/2y-3)-5

32/x20y15

500

a-2ab+b2

a=-3, b=-5

-26

500

(bx/b6)7=b35

11

500

(5x2y3z0)4=5x8y24

Didn't apply the exponent 4 to the coefficient

625x8y24

500

(92)3(94)5

926

500

(6x7y)(7x3y2)/3x13y3

14/x3

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