Laws of Exponents

Front

What is the law of exponents for multiplying powers with the same base?

Back

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

Front

What is the law of exponents for dividing powers with the same base?

Back

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

Front

What is the law of exponents for raising a power to another power?

Back

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

Front

What is the law of exponents for multiplying powers with different bases but the same exponent?

Back

When multiplying powers with different bases but the same exponent, multiply the bases and keep the exponent: a^m * b^m = (a*b)^m.

Front

What is the law of exponents for raising a product to a power?

Back

When raising a product to a power, raise each factor to the power: (ab)^m = a^m * b^m.

Front

What is the law of exponents for raising a quotient to a power?

Back

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

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: a^0 = 1 (where a ≠ 0).

Front

What is the value of one raised to any power?

Back

One raised to any power is always equal to one: 1^n = 1.

Front

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

Back

Zero raised to any positive power is equal to zero: 0^n = 0 (where n > 0).

Front

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

Back

The expression 0^0 is considered indeterminate in mathematics.