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 quotient rule for exponents?

Back

When dividing two expressions 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 an exponent to another exponent, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: 6x^2 ⋅ 2y^4 ⋅ x

Back

12x^3y^4.

Front

Evaluate using the quotient rule: 6^30 / 6^8

Back

6^22.

Front

Simplify: (x^14)^3

Back

x^42.

Front

Simplify the expression: 2^3 ⋅ 2^2

Back

2^5.

Front

Simplify: 8x^5y^3 / 4x^2y

Back

2x^3y^2.

Front

Combine like terms: (5x + 2) + (4x + 5)

Back

9x + 7.

Front

What is the zero exponent rule?

Back

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