2 m - 3 m is equal toA- 6 mB- 62 m- 2 - 3 mD- 2 - 32 m

The correct options are A (6)^m C (2 × 3)^mBy the Laws of Exponents, we know that a^m × b^m=(ab)^m=(a × b)^m 2^m× 3^m=(6)^m=(2 × 3)^m ...

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Standard VII

Mathematics

Exponents with Unlike Bases and Same Exponent

2 m × 3 m is ...

Question

$2^{m} \times 3^{m}$ is equal to

(6)^{m}

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(6)^{2 m}

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(2 \times 3)^{m}

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(2 \times 3)^{2 m}

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Solution

The correct options are
A $(6)^{m}$
C $(2 \times 3)^{m}$
By the Laws of Exponents, we know that $a^{m} \times b^{m} = (a b)^{m} = (a \times b)^{m}$
$⟹ 2^{m} \times 3^{m} = (6)^{m} = (2 \times 3)^{m}$

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2m×3m is equal to

The correct options are A (6)m C (2×3)mBy the Laws of Exponents, we know that am×bm=(ab)m=(a×b)m ⟹2m×3m=(6)m=(2×3)m

$2^{m} \times 3^{m}$ is equal to

The correct options are
A $(6)^{m}$
C $(2 \times 3)^{m}$
By the Laws of Exponents, we know that $a^{m} \times b^{m} = (a b)^{m} = (a \times b)^{m}$
$⟹ 2^{m} \times 3^{m} = (6)^{m} = (2 \times 3)^{m}$