Exponent Rules

Front

What is the product rule of exponents?

Back

When multiplying two expressions 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 zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: (2^3)^2

Back

2^6.

Front

Simplify: (x^5y^2)^3

Back

x^15y^6.

Front

Simplify: 4^0

Back

1.

Front

Which of the following is a whole number? (1/4)^{-3}, (2/3)^3, 4^{-2}, -5^{-2}

Back

(1/4)^{-3}.

Front

Simplify: 3^2 * 3^4

Back

3^6.

Front

Simplify: m^2 * m^3 * m^4

Back

m^9.