Exponent Rules and Properties

Front

What is the power of a product rule in exponents?

Back

When multiplying two bases with the same exponent, you can add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, you 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: (3x^3y^5)^4

Back

81x^12y^20.

Front

Simplify: -3xy^3 * (4xy)^2

Back

-48x^3y^5.

Front

Simplify: (2x^7)^3

Back

8x^21.

Front

Simplify: \frac{(4x^2y^3)^0}{8x^3}

Back

\frac{1}{8x^3}.

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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