Power of a Power, Product, & Quotient Rule of Exponents

Front

What is the Power of a Power Rule in exponents?

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify: (2x^3)^4

Back

16x^12

Front

What is the Product Rule in exponents?

Back

When multiplying two powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify: x^2 * x^5

Back

x^7

Front

What is the Quotient Rule in exponents?

Back

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

Front

Simplify: x^8 / x^3

Back

x^5

Front

What happens when you raise a product to a power?

Back

Distribute the exponent to each factor in the product. For example, (ab)^n = a^n * b^n.

Front

Simplify: (3xy)^2

Back

9x^2y^2

Front

What is the definition of a negative exponent?

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: 2^(-3)

Back

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