| Exponential Form | Expanded Form | Simplified |
| \(5^2\cdot5^3\) | \(5\cdot5\cdot5\cdot5\cdot5\) | \(5^5=3125\) |
| \(x^3\cdot x^4\) | \(x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\) | \(x^7\) |
| \(3x^2\cdot2x^4\) | \(3\cdot x\cdot x\cdot 2\cdot x\cdot x\cdot x\cdot x\) | \(6x^6\) |
| \(5x^3\cdot 3x^{-2}\) | \(5 x x x\cdot 3\cdot \dfrac1{x\cdot x}\) | \(15x\) |
| \((3^2)^4\) | \((3\cdot 3)(3\cdot 3)(3\cdot 3)(3\cdot 3)\) | \(3^8\) |
| \((x^3)^2\) | \((x\cdot x\cdot x)(x\cdot x\cdot x)\) | \(x^6\) |
| \((2x^3)^2\) | \((2\cdot x\cdot x\cdot x)(2\cdot x\cdot x\cdot x)\) | \(4x^6\) |
| \((2x^2y^3)^3\) | \((2\cdot x \cdot x \cdot y \cdot y\cdot y)\cdot\\(2\cdot x \cdot x \cdot y \cdot y\cdot y)\cdot\\(2\cdot x \cdot x \cdot y \cdot y\cdot y)\) | \(8x^6y^9\) |
| \(\bigg(\dfrac{3x}{y^2}\bigg)^3\) | \(\bigg(\dfrac{3x}{y\cdot y}\bigg)\bigg(\dfrac{3x}{y\cdot y}\bigg)\bigg(\dfrac{3x}{y\cdot y}\bigg)\) | \(\dfrac{27x^3}{y^6}\) |