Question 8

In the following question, out of the four options, only one is correct. Write the correct answer:

The multiplicative inverse of $10^{100}$ is:
(a) 10
(b) 100
(c) $10^{100}$
(d) $10^{- 100}$

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Solution

So, $a \times b = 1 ∴ a \times 10^{100} = 1 \Rightarrow a = \frac{1}{10^{100}} = 10^{- 100}$

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Question 11

In the following question, out of the four options, only one is correct. Write the correct answer:

The multiplicative inverse of ${(- \frac{5}{9})}^{- 99}$ is:
(a) ${(- \frac{5}{9})}^{99}$
(b) ${(\frac{5}{9})}^{99}$
(c) ${(- \frac{9}{- 5})}^{99}$
(d) ${(- \frac{9}{5})}^{99}$

Question 7

In the following question, out of the four options, only one is correct. Write the correct answer:

The reciprocal of ${(\frac{2}{5})}^{- 1}$ is:
(a) $\frac{2}{5}$

(b) $\frac{5}{2}$

(c) $- \frac{5}{2}$

(d) $- \frac{2}{5}$

Question 6

In the following question out of the four options only one is correct, write the correct answer:

The value of x, for which the expressions 3x-4 and 2x+1 become equal, is:

(a) -3

(b) 0

(d) 1

Question 10

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of ${(\frac{- 2}{3})}^{4}$ is equal to:
(a) $\frac{16}{81}$
(b) $\frac{81}{16}$
(c) $\frac{- 16}{81}$
(d) $\frac{81}{- 16}$

Question 9

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of $(- 2)^{2 \times 3 - 1}$ is :
(a) 32
(b) 64
(c) -32
(d) -64

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Question 8 In the following question, out of the four options, only one is correct. Write the correct answer: The multiplicative inverse of 10100 is: (a) 10 (b) 100 (c) 10100 (d) 10−100

So,a×b=1∴a×10100=1⇒a=110100=10−100

Question 8

In the following question, out of the four options, only one is correct. Write the correct answer:

The multiplicative inverse of $10^{100}$ is:
(a) 10
(b) 100
(c) $10^{100}$
(d) $10^{- 100}$

So, $a \times b = 1 ∴ a \times 10^{100} = 1 \Rightarrow a = \frac{1}{10^{100}} = 10^{- 100}$