Express the product 2^4 x 2^4 x 2^4 as a single power of 2 using the laws of exponents.

2^12. Adding equal powers: 2^4 x 2^4 x 2^4 = 2^(4+4+4) = 2^12. (Equivalently (2^4)^3 = 2^12.)

Express the product $2^{4} \times 2^{4} \times 2^{4}$ as a single power of 2 using the laws of exponents.

Class 7Laws of ExponentsNumber System

Adding equal powers:

2^{4} \times 2^{4} \times 2^{4} = 2^{4 + 4 + 4} = 2^{12}

. (Equivalently

(2^{4})^{3} = 2^{12} .

)

Answer: A)

2^{12}

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