2x^4×12x^6 As multiplication is commutative, we bring the constant first, 2x^4×12x^6= 2×12× x^4× x^6 Cancelling the constants and adding the exponent of same ba ...

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Standard VII

Mathematics

Rules of Multiplication of Terms

Simplify:2x4×...

Question

Simplify:
$2 x^{4} \times \frac{1}{2} x^{6}$

x^{24}

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x^{10}

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2 x^{10}

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Solution

The correct option is B $x^{10}$
$2 x^{4} \times \frac{1}{2} x^{6}$
As multiplication is commutative, we bring the constant first,
$2 x^{4} \times \frac{1}{2} x^{6} = 2 \times \frac{1}{2} \times x^{4} \times x^{6}$
Cancelling the constants and adding the exponent of same base variable we get,
$2 \times \frac{1}{2} \times x^{4} \times x^{6} = x^{(4 + 6)} = x^{10}$
$∴$ Answer = $x^{10}$

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Simplify: 2x4×12x6

The correct option is B x102x4×12x6 As multiplication is commutative, we bring the constant first, 2x4×12x6=2×12×x4×x6 Cancelling the constants and adding the exponent of same base variable we get, 2×12×x4×x6=x(4+6)=x10 ∴ Answer = x10

Simplify:
$2 x^{4} \times \frac{1}{2} x^{6}$