2nd 9 weeks study guide

Front

Simplify: 3^4 ⋅ 3^7

Back

3^{11}

Front

Select the correct graph for the inequality: x < 5

Back

Graph B

Front

Simplify: 2a^2b^3 ⋅ 4ab^2

Back

8a^3b^5

Front

Select the correct graph for the inequality: x ≥ 3

Back

Graph D

Front

Simplify: (6b^4c^2)^2

Back

6^2b^8c^4

Front

What is the product of powers rule in exponents?

Back

When multiplying like bases, add the exponents: a^m ⋅ a^n = a^{m+n}.

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^{m*n}.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, or not equal to the other.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading a region of the graph that represents all the solutions to the inequality.