Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself.

Front

In the expression 3^4, what does the 4 represent?

Back

The 4 represents the number of times the base (3) is multiplied by itself: 3 x 3 x 3 x 3.

Front

What is the value of any number raised to the power of 0?

Back

The value of any number raised to the power of 0 is 1.

Front

What does 5^1 equal?

Back

5^1 equals 5.

Front

How do you compare two exponential expressions, such as 7^2 and 2^6?

Back

You can calculate the values of each expression and then compare them. 7^2 = 49 and 2^6 = 64, so 7^2 < 2^6.

Front

What is the result of 10^3?

Back

10^3 equals 1000.

Front

If a number is raised to a negative exponent, what does that mean?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. For example, 2^-3 = 1/(2^3) = 1/8.

Front

What is the product of two powers with the same base, such as a^m * a^n?

Back

The product of two powers with the same base is a^(m+n).

Front

What is the quotient of two powers with the same base, such as a^m / a^n?

Back

The quotient of two powers with the same base is a^(m-n).

Front

What does 4^2 mean?

Back

4^2 means 4 multiplied by itself, which equals 16.