Find the value of $2^{10}$ × $3^{10}$ .

5^{10}

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2^{20}

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6^{10}

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3^{20}

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Solution

The correct option is C $6^{10}$
$2^{10}$ × $3^{10}$
= ${(2 \times 3)}^{10}$ [Since, $a^{m}$ × $b^{m}$ = ${(a b)}^{m}$ ]
= $6^{10}$

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Find the value of 210 × 310.

The correct option is C 610210 × 310 = (2×3)10 [Since, am × bm = (ab)m] = 610

Find the value of $2^{10}$ × $3^{10}$ .

The correct option is C $6^{10}$
$2^{10}$ × $3^{10}$
= ${(2 \times 3)}^{10}$ [Since, $a^{m}$ × $b^{m}$ = ${(a b)}^{m}$ ]
= $6^{10}$