Exponents Rules

Front

What is the Product Rule of Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression: 2^3 * 2^4

Back

2^(3+4) = 2^7.

Front

What is the Power of a Power Rule?

Back

The Power of a Power Rule states that when raising an exponent to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify the expression: (x^2)^3

Back

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

Front

What is the Zero Exponent Rule?

Back

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

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/a^n.

Front

Simplify the expression: z^5 * z^(-2)

Back

z^(5 + (-2)) = z^3.

Front

What is the Expanded Form of (x^3)^4?

Back

(x^3)^4 = x^(3*4) = x^12.

Front

Simplify the expression: (3x^2)^2

Back

(3^2)(x^(2*2)) = 9x^4.

Front

What is the Quotient Rule of Exponents?

Back

The Quotient Rule states that when dividing two expressions with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).