What is the value of 2-5- 23-

The correct option is D 14 2^ 5× 2^3 = 2^ 5 + 3 = 2^ 2 = 12^2 = 14 So, option B is correct. ...

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Standard XII

Mathematics

Definition of a Determinant

What is the v...

Question

What is the value of $2^{- 5} \times 2^{3}$ ?

4

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\frac{1}{4}

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- 4

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2^{2}

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Solution

The correct option is D $\frac{1}{4}$
$2^{- 5} \times 2^{3} = 2^{- 5 + 3}$
$= 2^{- 2}$
$= \frac{1}{2^{2}}$ $= \frac{1}{4}$

So, option $B$ is correct.

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Similar questions

Q. The positive integral value of

n

such that

1 \cdot 2^{1} + 2 \cdot 2^{2} + 3 \cdot 2^{3} + 4 \cdot 2^{4} + \dots + n \cdot 2^{n} = 2 + 2^{n + 5},

The sum of the series $\frac{1}{2 \times 3} \times 2 + \frac{2}{3 \times 4} \times 2^{2} + \frac{3}{4 \times 5} \times 2^{3} + \dots \dots \dots$ to n terms is

Q. The sum of the series

\frac{2}{1 \times 2} + \frac{5}{2 \times 3} \times 2 + \frac{10}{3 \times 4} \times 2^{2} + \frac{17}{4 \times 5} \times 2^{3} + - - - -

- -

upto

9

terms is given as

Q. Observe the following patterns

1 = \frac{1}{2} (1 \times (1 + 1))

1 + 2 = \frac{1}{2} (2 \times (2 + 1))

1 + 2 + 3 = \frac{1}{2} (3 \times (3 + 1))

1 + 2 + 3 + 4 = \frac{1}{2} (4 \times (4 + 1))

and find the value of each of the following

1 + 2 + 3 + 4 + 5 + . . . . + 50

Q. Find the median for the following frequency table.

Value	$12$	$13$	$15$	$19$	$22$	$23$
Frequency	$4$	$2$	$4$	$4$	$1$	$5$

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What is the value of 2−5×23?

The correct option is D 142−5×23=2−5+3=2−2=122=14So, option B is correct.

What is the value of $2^{- 5} \times 2^{3}$ ?

The correct option is D $\frac{1}{4}$
$2^{- 5} \times 2^{3} = 2^{- 5 + 3}$
$= 2^{- 2}$
$= \frac{1}{2^{2}}$ $= \frac{1}{4}$

So, option $B$ is correct.