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