Question

5. Express each of the following numbers using exponential form.
1)512​

Answer 1

Given:

512

To Find:

Express the given number in exponential form.

Solution :

LCM of 512:

$\begin{array}{r | l} 2 & 512 \\ \cline{2-2} 2 & 256 \\ \cline{2-2} 2 & 128 \\ \cline{2-2} 2 & 64 \\ \cline{2-2} 2 & 32 \\ \cline{2-2} 2 & 16 \\ \cline{2-2} 2 & 8 \\ \cline{2-2} 2 & 4 \\ \cline{2-2} 2 & 2 \\ \cline{2-2} & 1 \end{array}$

Exponential Form:

512 = 2x2x2x2x2x2x2x2x2= 2^9

${In\: Exponential \: Form \: = \:2^9}$

2 is known as base and 9 is known as power or index.