Negative Exponents

Simplify

100

(4)^-2

1/4² = 1/16

200

3² / 3^-1 

3^2-(-1)=3³=27

300

(y)^-2 * (y)^-3

y^-5 = 1/y⁵

400

(x^-3y^-2) / (x^-4y²)

x/y⁴

500

(3x^-3 * (2y)^-1 * z^-1) / (y^-3 * (xz)^-2)

(3zy²)/(2x)

Negative Base

100

(-7)²

49

200

(-4)^-3

-1/4³ = -1/64

300

8h⁰ * (-2h)^-2

2/h²

400

(-4)^-2 * (-4)^-1 

-1/4³ = -1/64 

500

((-x)^-2 * (-x))^-3

-x³

Examples with Coefficients

100

4x² * x^-4

4/x²

200

3x⁵/6x⁸

1/2x³

300

Rewrite (6x^-2)/(3x⁵) using a positive exponent.

2x^-7 = 2/x⁷

400

Rewrite (3x^-3)² with a positive exponent.

9/x⁶

500

Simplify (4u^-5)(2u^-900) using positive exponents. 

8 / u⁹⁰⁵

Random

100

The rule that states any non-zero number where the exponent is negative is equal to the reciprocal of the positive exponents.

What is the negative-exponent rule?

200

Simplify (3^-6)³.

3^-6*3 = 1/3¹⁸

300

4^-4 * 3^-4

1/12⁴

400

Simplify (3x)^-2 * x^-1

1/(9x³)

500

Simplify (x⁵y⁸)^-3 / (x⁴y^-7)

1/(x¹⁹y¹⁷)