Adaptive Practice
Exponentials
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Question 1 of 10
⏱ 0:30
Easy
If \(2^x = 16\), what is the value of \(x\)?
Easy
Simplify \( (3^2)^4 \).
Easy
Find the value of \(x\) if \(5^{x+1} = 125\).
Medium
Express \(\sqrt{a^5}\) as a single power of \(a\).
Medium
If \(3^{2x -1} = 27\), find \(x\).
Hard
Simplify \( \frac{2^{3x} \times 2^{2x+1}}{2^{4x -2}} \).
Hard
Solve for \(x\): \(4^{x} = 8^{x-1}\).
Medium
If \(a^3 = 16\) and \(a > 0\), find \(a^{\frac{1}{2}}\).
Medium
Evaluate \(\left(\frac{1}{9}\right)^{-\frac{3}{2}}\).
Medium
If \(2^{x} + 2^{x+1} = 96\), find \(x\).