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 3^4, 3 is the base and 4 is the exponent.

Front

How do you express repeated multiplication using exponents?

Back

Repeated multiplication can be expressed using exponents. For example, 2 x 2 x 2 can be written as 2^3.

Front

What is the base in an exponential expression?

Back

The base is the number that is being multiplied in an exponential expression. For example, in 5^3, 5 is the base.

Front

What does the exponent indicate in an exponential expression?

Back

The exponent indicates how many times the base is multiplied by itself. For example, in 4^2, the exponent 2 means 4 is multiplied by itself once (4 x 4).

Front

What is the value of 2^5?

Back

The value of 2^5 is 32, since 2 x 2 x 2 x 2 x 2 = 32.

Front

What is the product of powers rule?

Back

The product of powers rule states that when multiplying two expressions with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the power of a power rule?

Back

The power of a power rule states that when raising an exponent to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the quotient of powers rule?

Back

The quotient of powers rule states that when dividing two expressions with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is zero exponent rule?

Back

The zero exponent rule states that any non-zero base raised to the power of zero equals one. For example, 5^0 = 1.

Front

What is the negative exponent rule?

Back

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).