Exponent Rules

Front

What is the product rule for 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 for 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

Simplify: x^3 * x^4

Back

x^7

Front

Simplify: (2x^2)^3

Back

8x^6

Front

Simplify: y^5 / y^2

Back

y^3

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

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

Front

Simplify: 3x^2 * 4x^3

Back

12x^5

Front

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

Back

x^{10}y^4