All 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 value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1 (where a ≠ 0).

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 raising a product to a power?

Back

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

Front

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

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

Rewrite 3x⁻² using positive exponents.

Back

3/x².

Front

Simplify s⁻5 ⋅ s⁻2.

Back

1/s⁷.

Front

What is the value of y⁰?

Back

1.

Front

What is the value of (-9)⁰?

Back

1.