Exponent Laws

Negative Exponents

100

Simplify. Your answer should only contain positive exponents.

x^-3/x⁵

1/x⁸

200

Simplify. Your answer should only contain positive exponents.

5^-2 * 5⁰

1/5² or 1/25

300

Simplify. Your answer should only contain positive exponents.

(1/x^-5) + y⁴

x⁵ + y⁴

400

Simplify. Your answer should only contain positive exponents. 

5/25b^-2

b²/5 or 1/5*b²

500

Simplify. Your answer should only contain positive exponents.

1/(2^-2)³

2⁶ or 64

x=?

100

b³(b^x)=b⁷

4

200

(b⁵)^x=b⁴⁰

8

300

2^x * 2⁵ = 1/2¹⁰

-3

400

b³/b^x=b⁹

-6

500

(b^x/b⁶)⁷=b³⁵

11

Name the mistake

100

x⁵x⁷=x³⁵

^{What should the answer be?}

Multiplied exponents

x¹²

200

(x⁴)(y³)= (xy)⁷

Can't simplify any further - not like bases

300

(3x²)³ = 9x⁶

^{What should the answer be?}

Did not cube 3.

27x⁶

400

(5b²)(2b⁶)= 7b⁸

^{What should the answer be?}

Added coefficients, rather than multiplied

10b⁸

500

(5x⁴y³z⁰)²=5x⁸y⁶

^{What should the answer be?}

Didn't apply the exponent 4 to the coefficient

25x⁸y⁶

Mixed Practice (1)

100

x⁴ * x³ * x⁵

x¹²

200

x⁶y⁹/x⁵y⁴

xy⁵

300

2⁴ * 3²

144

400

(3⁵)⁸

3⁴⁰

500

(9²)³ * (9⁴)⁵

9²⁶

Mixed Practice (2)

100

(1/3)²

1/9

200

(7x³y⁵)²

49x⁶y¹⁰

300

-8(xy³)⁰

-8

400

(x⁴/x^-3)^-5

1/x³⁵

500

(6x⁷y * 7x³y²) / 3x¹³y³

14/x³