While expressing 1-8 in exponential form- the base is and the exponent is -

8 in the exponential form can be represented as 2^3. Since a^ m=1/a^m for a non zero integer a, and any integer m, we have 1/8=1/2^3=2^ 3 Therefore, while expre ...

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Standard VIII

Mathematics

Powers with Negative Exponents

While express...

Question

While expressing $\frac{1}{8}$ in exponential form, the base is and the exponent is .

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Solution

The correct option is D -3
8 in the exponential form can be represented as $2^{3}$ .
Since $a^{- m} = \frac{1}{a^{m}}$ for a non-zero integer $a$ , and any integer $m,$ we have
$\frac{1}{8} = \frac{1}{2^{3}} = 2^{- 3}$
Therefore, while expressing $\frac{1}{8}$ in exponential form, the base will be $2$ and $- 3$ will be the exponent.

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While expressing 18 in exponential form, the base is and the exponent is .

The correct option is D -38 in the exponential form can be represented as 23. Since a−m=1am for a non-zero integer a, and any integer m, we have 18=123=2−3 Therefore, while expressing 18 in exponential form, the base will be 2 and −3 will be the exponent.

While expressing $\frac{1}{8}$ in exponential form, the base is and the exponent is .