Exponent Laws

Variable substitution

100

5x

x=3

15

200

3+4a

a=-5

-17

300

xy-y

x=3, y=-4

-8

400

7y³+2y

y=-2

-60

500

a-2ab+b²

a=-3, b=-5

-26

x=?

100

b³(b^x)=b⁷

4

200

(b⁵)^x=b⁴⁰

8

300

2^x = 0.125

-3

400

b³/b^x=b⁹

-6

500

(b^x/b⁶)⁷=b³⁵

11

Name the mistake

100

x⁵x⁷=x³⁵

Multiplied exponents

x¹²

200

(2⁴)(3⁴)= 6⁴

Multiplied bases and kept exponents

1,296

300

4³+4²=4⁵

Used the multiplication law on addition

80

400

(5b²)(2b⁶)= 7b⁸

Added coefficients, rather than multiplied

10b⁸

500

(5x²y³z⁰)⁴=5x⁸y²⁴

Didn't apply the exponent 4 to the coefficient

625x⁸y²⁴

Exponent Laws part 1

100

x⁴x³x⁵

x¹²

200

x⁶y⁹/x⁵y⁴

xy⁵

300

2⁴+3²

25

400

(3⁵)⁸

3⁴⁰

500

(9²)³(9⁴)⁵

9²⁶

Exponent Laws part 2

100

(1/3)²

1/9

200

(7x³y⁵)²

49x⁶y¹⁰

300

-8(xy³)⁰

-8

400

(x⁴/2y^-3)^-5

32/x²⁰y¹⁵

500

(6x⁷y)(7x³y²)/3x¹³y³

14/x³