Algebra

Rules of Exponents

Rules of Exponents: Same Power

         

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,

23×53=(2×5)3. 2 ^ 3 \times 5 ^ 3 = (2 \times 5) ^ 3 .

Evaluate

(43)2×(94)2. \left( \frac{4}{3} \right)^2 \times \left( \frac{9}{4} \right)^2.

Evaluate

23+23+23+23. 2^{3} + 2^{3} + 2^{3} + 2^{3} .

True or False:

ab×ab=(a2)b. a^b \times a^b = \left( a^2 \right) ^b .

Evaluate

125×155÷605. 12^5 \times 15^5 \div 60^5.

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