The correct option is C None of theseHere, (4)^? = 1024 ⇒ (4)^4 = 2^10 [1024 = 2 × 2 × 2....10 ×] Now, (2^2)^? = 2^10 ⇒ 2^2 × ? = 2^10 [∵ (2^2)^? = 2^2 × ?] ⇒ ...

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Standard VII

Mathematics

Expressing Numbers as Exponents

4?=1024

Question

$(4)^{?} = 1024$

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None of these

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Solution

The correct option is E None of these
Here, $(4)^{?} = 1024$
$\Rightarrow (4)^{4} = 2^{10}$
$[1024 = 2 \times 2 \times 2....10 \times]$
Now, $(2^{2})^{?} = 2^{10}$
$\Rightarrow 2^{2 \times ?} = 2^{10} [∵ (2^{2})^{?} = 2^{2 \times ?}]$
$\Rightarrow 2 \times ? = 10 \Rightarrow ? = 5$

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Similar questions

Q. Simplify :

\frac{\sqrt[4]{1024}}{\sqrt[4]{4}}

Q. Evaluate

\int_{1}^{4} (c o s (x) - \frac{3}{x^{5}}) d x

Q. Evaluate:

\int_{1}^{4} (c o s x - \frac{3}{x^{5}}) d x

If $\sqrt{2^{n}} = 1024, t h e n 3^{2 (\frac{n}{4} - 4)}$ =

1024 is ______ power of 4.

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(4)?=1024

The correct option is E None of theseHere, (4)?=1024 ⇒(4)4=210 [1024=2×2×2....10×] Now, (22)?=210 ⇒22×?=210[∵(22)?=22×?] ⇒2×?=10⇒?=5

$(4)^{?} = 1024$

The correct option is E None of these
Here, $(4)^{?} = 1024$
$\Rightarrow (4)^{4} = 2^{10}$
$[1024 = 2 \times 2 \times 2....10 \times]$
Now, $(2^{2})^{?} = 2^{10}$
$\Rightarrow 2^{2 \times ?} = 2^{10} [∵ (2^{2})^{?} = 2^{2 \times ?}]$
$\Rightarrow 2 \times ? = 10 \Rightarrow ? = 5$