Product and Power Rules of Exponents

Front

What is the Product Rule of Exponents?

Back

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

Front

What is the Power Rule of Exponents?

Back

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

Front

Simplify: (3y⁴)²

Back

9y⁸

Front

Which expression is equivalent to (2x)³?

Back

(2x)(2x)(2x)

Front

Simplify: b² ⋅ b⁴

Back

b⁶

Front

Simplify: (v⁵)(v⁵)

Back

v¹⁰

Front

Simplify: (4xy⁴)³

Back

64x³y¹²

Front

What does a negative exponent mean?

Back

a^(-n) = 1/(a^n) for a ≠ 0.

Front

What is the value of (x²)³?

Back

x⁶

Front

If a = 2 and b = 3, what is the value of (ab)²?

Back

(2*3)² = 36.