Algebra-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 a power?

Back

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

Front

What is the Law of Exponents for a power of a product?

Back

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

Front

What is the Law of Exponents for a power of a quotient?

Back

When taking a power of a quotient, distribute the exponent to the numerator and denominator: (a/b)^n = a^n / b^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: a^0 = 1.

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 for 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.

Front

What is the Inverse Variation?

Back

Inverse variation describes a relationship where the product of two variables is constant: if y varies inversely with x, then y = k/x.