Exponent Laws

Front

What is the product of powers rule in exponent laws?

Back

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

Front

What is the power of a power rule in exponent laws?

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 in exponent laws?

Back

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

Front

What is the power of a quotient rule in exponent laws?

Back

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

Front

What is the zero exponent rule?

Back

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

Front

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

Back

1.

Front

What is the value of one raised to any power?

Back

1.

Front

What is the value of zero raised to any positive power?

Back

0.

Front

What is the value of zero raised to the power of zero?

Back

Undefined (0^0 is indeterminate).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.