Exponent Rules

Front

What is the rule for negative exponents?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, a^(-n) = 1/(a^n).

Front

Simplify: 4^-2

Back

1/16

Front

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

Back

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

Front

Simplify: 8^7 / 8^2

Back

8^5

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

Simplify: (x^2)^3

Back

x^6

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

Evaluate: 3^4

Back

81

Front

What is the zero exponent rule?

Back

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

Front

Evaluate: 7^0

Back

1