Express 256 - 243 in exponential form-

The correct option is A 2^8 × 3^5 We can write: 256 = (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 2^8 nbsp; 243 = (3 × 3 × 3 × 3 × 3) = 3^5 ∴ nbsp;256 × 243 = 2^8 ...

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Standard VII

Mathematics

Index and Base

Express 256 ×...

Question

Express $256 \times 243$ in exponential form.

$2^{8} \times 3^{5}$

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$2^{7} \times 3^{4}$

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$2^{6} \times 3^{3}$

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$2^{2} \times 3^{2}$

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Solution

The correct option is A
$2^{8} \times 3^{5}$

We can write:
$256 = (2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2) = 2^{8}$

$243 = (3 \times 3 \times 3 \times 3 \times 3) = 3^{5}$

$∴ 256 \times 243 = 2^{8} \times 3^{5}$

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Similar questions

Express $256 \times 243$ in exponential form.

Q. Express in exponential form:

{(\frac{256}{84})}^{\frac{5}{4}}

Q. Rewrite the following equalities in the exponential form.

{log}_{3} \frac{1}{243} = - 5.

Q. Express the followings surds in its simplest form.
(i)

\sqrt[3]{32}

(ii)

\sqrt{63}

(iii)

\sqrt{243}

(iv)

\sqrt[3]{256}

Evaluate the exponential expression $x^{5}$ × $x^{4}, f o r x = 2$ .

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Express 256×243 in exponential form.

The correct option is A 28×35 We can write: 256=(2×2×2×2×2×2×2×2)=28 243=(3×3×3×3×3)=35 ∴256×243=28×35

Express $256 \times 243$ in exponential form.

The correct option is A
$2^{8} \times 3^{5}$

We can write:
$256 = (2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2) = 2^{8}$

$243 = (3 \times 3 \times 3 \times 3 \times 3) = 3^{5}$

$∴ 256 \times 243 = 2^{8} \times 3^{5}$