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 x 2 x 2 = 8).

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, x^a * x^b = x^(a+b).

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, x^a / x^b = x^(a-b).

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, (x^a)^b = x^(a*b).

Front

What is the zero exponent rule?

Back

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

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, x^(-a) = 1/(x^a).

Front

Simplify the expression: x^5 * x^7

Back

x^12

Front

Simplify the expression: 243x^20 / y^30

Back

243x^20 / y^30

Front

Evaluate the expression using the quotient rule: x^13 / x^8

Back

x^5

Front

Write the following in expanded form: 10^3

Back

10 x 10 x 10