Exponential expressions illustrate the concept of repeated multiplication. Each exponential expression is composed of a base and an exponent. The base is the figure that is being multiplied, while the exponent signifies the number of times the base is factored in. Take for instance, in 2^3, 2 is identified as the base and 3 acts as the exponent.
| Topic | Problem | Solution |
|---|---|---|
| None | Select the expression which is not equivalent to:… | First, we need to simplify each option to see if they are equivalent to \(a^{2} b^{-3} c^{1.5}\). |
| None | \[ \left(\frac{a^{2} b^{-3} c^{-5}}{a^{5} b^{-7} … | Simplify the left side of the equation: \(\left(\frac{a^{2} b^{-3} c^{-5}}{a^{5} b^{-7} c^{-8}}\rig… |
| None | Rewrite the expression using a positive exponent.… | Rewrite the expression using a positive exponent: \(3.5^{-9} \cdot 3.5^{5}\) |
| None | $\frac{2^{2003} \cdot 9^{1001}}{4^{1001} \cdot 3^… | Rewrite the given expression as: \(\frac{2^{2003} \cdot 3^{2002}}{2^{2002} \cdot 3^{2003}}+\frac{2^… |
| None | Which expressions are equivalent to \( a^{\frac{p… | A) \( (\sqrt[q]{a^{p}})^{q} = a^{\frac{p}{q}} \) |