Exponent Rules

Front

What is the product rule for 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

Simplify: (x^3)^4

Back

x^(3*4) = x^12.

Front

What is the quotient rule for exponents?

Back

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

Front

Simplify: x^5 / x^2

Back

x^(5-2) = x^3.

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.

Front

Simplify: 2^3 * 2^2

Back

2^(3+2) = 2^5.

Front

Simplify: (3x^2)(4x^3)

Back

12x^(2+3) = 12x^5.

Front

Simplify: (k^5)(k^3)(k^3)

Back

k^(5+3+3) = k^11.