Question 42

In the following question, fill in the blanks to make the statements true.

$B y m u l t i p l y i n g (10)^{5} b y (10)^{- 10}, w e g e t$ ___

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Solution

Using law of exponents,
$(a)^{m} \times (a)^{n} = (a)^{m + n}$

Similarly, $(10)^{5} \times (10)^{- 10} = (10)^{5 + (- 10)}$

$= (10)^{5 - 10}$

$= (10)^{- 5}$

Hence,
$(10)^{5} \times (10)^{- 10} = (10)^{- 5}$

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