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

x=?

100

b³(b^x)=b⁷

4

200

(b⁵)^x=b⁴⁰

8

300

b³/b^x=b⁹

-6

400

6²(6^-x)= 36⁶

x=-4

Name the mistake

100

x⁵x⁷=x³⁵

Multiplied exponents

x¹²

200

(2⁴)(3⁴)= 6⁴

Multiplied bases and kept exponents

1,296

300

4³*4²=4⁶

4⁵=1,024

400

(2b²)(5b⁶)= 7b⁸

Added coefficients, rather than multiplied

10b⁸

Exponent Laws part 1

100

x⁴x³x⁵

x¹²

200

(3⁵)⁸

3⁴⁰

300

2⁴+3²

25

400

x⁶y⁹/x⁵y⁴

xy⁵

Exponent Laws part 2

100

(1/3)²

1/9

200

(7x³y⁵)²

49x⁶y¹⁰

300

(x⁴/2y^-3)⁰

1

400

-8(xy³)⁰

-8