Question 68

In the following question, state whether the given statements are true (T) or false (F).

$10^{- 2} = \frac{1}{100}$

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Solution

True:

Using the law of exponents,
$a^{- m} = \frac{1}{a^{m}}$

$∴ 10^{- 2} = \frac{1}{10^{2}} = \frac{1}{10 \times 10} = \frac{1}{100}$

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Question 68

In the following question, state whether the statement is True (T) or False (F):

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Powers with Positive and Negative Exponents

Standard VII Mathematics

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Question 68 In the following question, state whether the given statements are true (T) or false (F). 10−2=1100

True: Using the law of exponents, a−m=1am ∴10−2=1102=110×10=1100

Question 68

In the following question, state whether the given statements are true (T) or false (F).

$10^{- 2} = \frac{1}{100}$

True:

Using the law of exponents,
$a^{- m} = \frac{1}{a^{m}}$

$∴ 10^{- 2} = \frac{1}{10^{2}} = \frac{1}{10 \times 10} = \frac{1}{100}$