Practice!

Monomials

100

What are the three rules of monomials?

Only one expression (no addition or subtraction), all exponents are whole numbers, and no negative exponents

200

Is the following a monomial? 

12x⁴y³*3xz

Yes

300

Is the following a monomial?

-3x²y²z

Yes

400

Is the following a monomial?

(4x⁴z³)^y

No

500

Is the following a monomial?

4/x

No

Exponent Expressions

100

Simplify:

(3^mxⁿz)*(2x^mz⁰)

3^m*2x^n+mz

200

Simplify:

((4x³)ⁿ(2y^mz))/(x³ⁿyz^m)

4ⁿ*2y^m-1z^1-m

300

Simplify:

((4⁰(xy)^m-n)xⁿy^n-m)²ⁿ

x^2mn

400

Simplify:

(6^-ny^-m+2n)¹*3ⁿ(x^m)ⁿ

2^-ny^-m+2nx^nm

500

Simplify:

(xy)^-n(z^m)ⁿx^-n/(zy^mx^-n)

xⁿy^-n-mz^mn-1

Numerical Exponents

100

-(1-(-2)⁴)

31

200

(7²)⁰*((7⁸)²/7¹⁵)+(25³/5⁴)⁵

about 7

300

Simplify:

[(-3x²y³z⁰)/(3x^-2yz⁷)]

-1x⁴y²/z⁷

400

Simplify:

(4x²y)^-2*(3²)²x⁴y⁰

81/(16*y²)

500

Multiply out:

(2x+y)³/y

8x³/y + 12x² + 6xy + y²