Evaluating 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.

Front

What does 2^4 represent?

Back

2^4 represents 2 multiplied by itself 4 times, which equals 16.

Front

Calculate 3^5.

Back

3^5 equals 3 multiplied by itself 5 times, which equals 243.

Front

What is the result of (-8)^2?

Back

(-8)^2 equals 64, as squaring a negative number results in a positive number.

Front

What is the value of 3^2?

Back

3^2 equals 9, as it is 3 multiplied by itself.

Front

How do you simplify an expression with exponents, such as (a^m)(a^n)?

Back

You simplify it by adding the exponents: a^(m+n).

Front

What is the value of 5^0?

Back

Any non-zero number raised to the power of 0 is 1, so 5^0 equals 1.

Front

What is the rule for negative exponents, such as a^-n?

Back

A negative exponent indicates the reciprocal: a^-n = 1/(a^n).

Front

How do you evaluate an expression like 4^3?

Back

4^3 equals 4 multiplied by itself 3 times, which equals 64.

Front

What is the relationship between exponents and roots?

Back

Exponents can be expressed as roots: a^(1/n) is the nth root of a.