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Which shows the expression below in simplified form? ((4 × 10⁴) × (6 × 10⁴))

A. (2.4 × 10²)
B. (2.4 × 10¹)
C. (2.4 × 10⁻¹)
D. (10 × 10⁰)

User Chenge
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1 Answer

4 votes

Final answer:

Upon simplifying the expression ((4 \u00d7 10^4) \u00d7 (6 \u00d7 10^4)), by multiplying coefficients and adding exponents, the result is (2.4 \u00d7 10^9), which does not match any of the provided choices.

Step-by-step explanation:

The expression given is ((4 \u00d7 10^4) \u00d7 (6 \u00d7 10^4)). To simplify this, we need to multiply the coefficients (4 and 6) and also add the exponents of the powers of 10, according to the rule for multiplying exponentiated quantities. Multiplying the coefficients gives us 4 \u00d7 6 = 24. Adding the exponents of 10 gives us 10^(4+4) = 10^8. Therefore, the simplified form of the expression is (24 \u00d7 10^8), which we can express in scientific notation as (2.4 \u00d7 10^9), since 24 equals 2.4 \u00d7 10. None of the answer choices given match the correct simplified form of the expression, so the proper choice may be missing from the provided options.

User Christopher Yang
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