Algebra
# Rules of Exponents

**True or False:**

The product rule states that to multiply two expressions with exponents of the same power, we keep the power and multiply the bases. For example,

$2 ^ 3 \times 5 ^ 3 = (2 \times 5) ^ 3 .$

Evaluate

$\left( \frac{4}{3} \right)^2 \times \left( \frac{9}{4} \right)^2.$

Evaluate

$2^{3} + 2^{3} + 2^{3} + 2^{3} .$

**True or False:**

$a^b \times a^b = \left( a^2 \right) ^b .$

Evaluate

$12^5 \times 15^5 \div 60^5.$