Final Exam REVIEW

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Back

Front

Evaluate the expression using the Same Base, Division rule: 2^14 / z^7

Back

2^2 z^7

Front

A hawk swoops down toward a mouse at an angle of 30 degrees. If the mouse is 15 feet from the base of the tree, what is the distance from the tree branch to the mouse?

Back

30 ft

Front

Solve the equation: 2a - 6(a - 4) = -4

Back

7

Front

Simplify (8x^3 y^{-6})^2 (4x^{-2} y^8)

Back

Front

Definition: Exponentiation

Back

A mathematical operation involving two numbers, the base and the exponent, where the base is multiplied by itself as many times as indicated by the exponent.

Front

Definition: Same Base Rule

Back

When dividing two expressions with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Definition: Pythagorean Theorem

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a^2 + b^2 = c^2.

Front

Definition: Simplifying Expressions

Back

The process of reducing an expression to its simplest form by combining like terms and applying mathematical operations.

Front

Definition: Solving Linear Equations

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Finding the value of the variable that makes the equation true.