Evaluating Expressions with Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied 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 is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is equal to 1. For example, 5^0 = 1.

Front

What is the value of 4^1?

Back

The value of 4^1 is 4, since any number raised to the power of 1 is the number itself.

Front

How do you evaluate an expression with multiple operations, including exponents?

Back

Follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is the result of adding a fraction and a decimal?

Back

To add a fraction and a decimal, convert the decimal to a fraction or the fraction to a decimal, then perform the addition.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, since 2 multiplied by itself three times equals 8 (2 * 2 * 2 = 8).

Front

How do you simplify the expression (0.5 + 4^0)?

Back

First, evaluate 4^0, which is 1. Then add 0.5 + 1 to get 1.5.

Front

What is the value of 2^4?

Back

The value of 2^4 is 16, since 2 multiplied by itself four times equals 16 (2 * 2 * 2 * 2 = 16).

Front

What is the result of (2.75 + 2^1)?

Back

First, evaluate 2^1, which is 2. Then add 2.75 + 2 to get 4.75.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.