Laws of Exponent and Rational Exponent

Front

What are the laws of exponents?

Back

The laws of exponents are rules that describe how to handle mathematical operations involving powers or exponents.

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, representing both a root and a power.

Front

State the product of powers rule.

Back

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

Front

State the power of a power rule.

Back

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

Front

State the power of a product rule.

Back

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

Front

State the quotient of powers rule.

Back

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

Front

State the zero exponent rule.

Back

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

Front

State the negative exponent rule.

Back

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