Exponent Rules Review

Front

What is the product rule for exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power rule for exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product rule for exponents?

Back

When raising a product to a power, distribute the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule for exponents?

Back

When raising a quotient to a power, distribute the exponent to the numerator and denominator: (a/b)^n = a^n / b^n.

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^{-n} = 1/a^n.

Front

How do you simplify x^m * x^n?

Back

You add the exponents: x^m * x^n = x^(m+n).

Front

How do you simplify x^m / x^n?

Back

You subtract the exponents: x^m / x^n = x^(m-n).

Front

What is the simplified form of x^0?

Back

Any non-zero base raised to the power of zero equals one: x^0 = 1.

Front

How do you simplify (x^m)^n?

Back

You multiply the exponents: (x^m)^n = x^(m*n).