Exponent Review

Front

What is the Quotient Rule for exponents?

Back

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

Front

Evaluate: 3^4 / 3^8

Back

3^(-4) or 1/3^4.

Front

What is the Product Rule for exponents?

Back

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

Front

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

Back

x^5.

Front

Evaluate: 9^9 / 9^4

Back

9^5.

Front

What is the Power of a Power Rule?

Back

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

Front

Simplify: (2ab)^3

Back

2^3 * a^3 * b^3.

Front

Evaluate: (6x^2)(-3x^5)

Back

-18x^7.

Front

What does a negative exponent represent?

Back

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

Front

Simplify: (x^4)^2

Back

x^8.