Mixed Exponent Rules

Front

What is the rule for changing a negative exponent to a positive exponent?

Back

To change a negative exponent to a positive exponent, take the reciprocal of the base. For example, x^(-n) = 1/(x^n).

Front

What is the value of any non-zero number raised to the power of zero?

Back

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

Front

How do you multiply two expressions with the same base?

Back

When multiplying two expressions with the same base, add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the result of x^m * x^n?

Back

The result is x^(m+n).

Front

What is the result of (x^m)^n?

Back

The result is x^(m*n).

Front

What is the result of x^m / x^n?

Back

The result is x^(m-n).

Front

What happens when you raise a product to a power?

Back

When raising a product to a power, raise each factor to that power. For example, (ab)^n = a^n * b^n.

Front

What happens when you raise a quotient to a power?

Back

When raising a quotient to a power, raise both the numerator and the denominator to that power. For example, (a/b)^n = a^n / b^n.

Front

What is the value of x^0 when x is not equal to zero?

Back

x^0 = 1.

Front

What is the simplified form of x^(-n)?

Back

The simplified form is 1/(x^n).