Exponents Rules

Front

What is the rule for dividing exponents with the same base?

Back

When dividing exponents with the same base, subtract the exponent in the denominator from the exponent in the numerator: a^m / a^n = a^(m-n).

Front

What is the rule for multiplying exponents with the same base?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the rule for raising a product to a power?

Back

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

Front

What is the rule 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)^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 equals 1: a^0 = 1 (where a ≠ 0).

Front

What is the value of a negative exponent?

Back

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

Front

Simplify: 8⁷ / 8²

Back

8⁵.

Front

Simplify: (2⁸)²

Back

2¹⁶.

Front

Simplify: 3⁵ ⋅ 3⁷

Back

3¹².