Exponent Rules

Front

What is the product rule of exponents?

Back

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

Front

What is the quotient rule of exponents?

Back

When dividing two powers with the same base, subtract 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 number 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: y^5 * y^10

Back

y^(5+10) = y^15.

Front

Simplify: (2x^3)^2

Back

2^2 * (x^3)^2 = 4x^(3*2) = 4x^6.

Front

Evaluate: 6^3 / 6^1

Back

6^(3-1) = 6^2 = 36.

Front

Simplify: (-2x^4)^3

Back

(-2)^3 * (x^4)^3 = -8x^(4*3) = -8x^12.

Front

Simplify: 3^0

Back

3^0 = 1.