Exponent Laws

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

Solve for 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

x⁵ x⁷ = 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

(5x² y³ z⁰)⁴ = 5x⁸y²⁴

Didn't apply the exponent 4 to the coefficient

625x⁸y²⁴

Exponents 1

100

x⁴ x³ x⁵

x¹²

200

x⁶ y⁹ / x⁵ y⁴

xy⁵

300

2⁴ + 3²

25

400

(3⁵)⁸

3⁴⁰

500

(9²)³ (9⁴)⁵

9²⁶

Exponents 2

100

(1/3)²

1/9

200

(7x³y⁵)²

49x⁶y¹⁰

300

-8(xy³)⁰

-8

400

(x⁴ / 2y^-3)^-5

32/x²⁰y¹⁵

500

(6 x⁷ y) (7 x³ y²) / 3x¹³ y³

14/x³