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Calculate (8.5*10⁶) (3.4*10⁶) give your answer in standard index form

User Mutt
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Final answer:

To calculate the product of (8.5×10⁶) × (3.4×10⁶), multiply the coefficients to get 28.9 and then add the exponents of power of 10 to get 10¹², resulting in a final answer of 28.9×10¹² in standard index form.

Step-by-step explanation:

To calculate the product of (8.5×10⁶) × (3.4×10⁶) and express the answer in standard index form, follow these steps:

  1. Multiply the numerical coeffcients together: 8.5 × 3.4.
  2. Add the exponents of 10 since the bases are the same in both numbers: 10⁶ × 10⁶ becomes 10^(6+6) or 10¹².

The multiplication of the coefficients (step 1) gives us 28.9, and the addition of exponents (step 2) results in 10¹². Thus, the product in standard index form is 28.9×10¹².

icients together: 8.5 × 3.4.

Add the exponents of 10 since the bases are the same in both numbers: 10⁶ × 10⁶ becomes 10^(6+6) or 10¹².



User Franiis
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