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# Rules of Exponents

Adding 10 to itself 10 times gives 100, but how can we represent 10 multiplied to itself 10 times?

**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

\[ 12^5 \times 15^5 \div 60^5. \]

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