Evaluating Expressions with Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with their given values and performing the necessary operations.

Front

What is the value of a^0 for any non-zero number a?

Back

The value of a^0 is always 1 for any non-zero number a.

Front

How do you evaluate an expression with multiple variables?

Back

Substitute each variable with its given value and then perform the operations according to the order of operations (PEMDAS/BODMAS).

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Evaluate the expression: 4h + 2g + 4 when g = 3 and h = 9.

Back

46

Front

Evaluate the expression: m^2 - 15 when m = 8.

Back

49

Front

Evaluate the expression: a^-4 * b^2 when a = -3 and b = 5.

Back

25/81

Front

Evaluate the expression: 5a^6 when a = 2.

Back

320

Front

Evaluate the expression: a^0 * b^-2 when a = -3 and b = 5.

Back

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