Exponent Rules

Front

What is the product of powers rule in exponentiation?

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 in exponentiation?

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 of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

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

Back

6x^7.

Front

Simplify: (x^5)^2

Back

x^10.

Front

Simplify: x^3 * x^2

Back

x^5.

Front

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

Back

8y^5.

Front

What is the quotient of powers rule in exponentiation?

Back

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

Front

Simplify: (x^8)/(x^3)

Back

x^5.