Question

3600 in exponential form​

Answer 1

Answer:

3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 2 4* 3 2* 5 2

2 power 5

3 power 2

5 power 2

Hope it help You

Answer 2

$\bf{given}</p><p></p><p>\begin{cases}</p><p></p><p>{ 3600}</p><p></p><p>\end{cases}$

$\bf{find}</p><p></p><p>\begin{cases}</p><p></p><p>{exponential \: form}</p><p></p><p>\end{cases}$

$\bigg \langle \green{solution} \bigg\rangle ↓$

$\bf\hookrightarrow{first \: we \: all \: to \: take \: the \: prime}$$\bf\qquad{factorisation \: of \: 3600 \: .}$

$\begin{array}{r | l}</p><p></p><p>2 & 3600 \\</p><p></p><p> 2 & 1800 \\</p><p></p><p>2 & 900\\</p><p></p><p> 2 & 450 \\</p><p></p><p>5 & 225 \\</p><p></p><p>5 & 45 \\</p><p></p><p>3 & 9 \\</p><p></p><p>3&3 \\ &1</p><p></p><p>\end{array}$

${ \qquad\bf\leadsto 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 3 \: \times 3}$

${ \qquad\bf\leadsto \: {2}^{4} \: \times \: {5}^{2} \: \times \: {3}^{2} } \: \underline{answer}$