\(2^3 = 2 \times 2 \times 2 \)
\(2^3\) (\(2\) to the power of \(3\)) is written in index notation which is the base is \(2\) and \(3\) is the index or exponent.
\(2^3 = 2 \times 2 \times 2\)
The value of index is the same as the number of times \(2\) is multiplied repeatedly.
Write \(32\) in index form using base of \(2\).
The base is \(2\)\(\).
So, \(32\) is divided repeatedly by \(2\).
The division is continued until \(1\) is obtained.
\(\begin{aligned}32 \div2&= 16 \\16 \div 2 &=8 \\8 \div 2&= 4 \\4 \div 2 &=2 \\ 2\div 2&=1.\\\\\end{aligned}\)
Thus, \(32=2^5\).
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