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Question: Calculate \[ (2.6 \times 10^8) \div (2 \times 10^4) \] Give your answer in standard form…
Calculate
\[ (2.6 \times 10^8) \div (2 \times 10^4) \]
Give your answer in standard form.
\[ \boxed{\phantom{0}} \times 10^{\phantom{0}} \]
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Solution
To solve the given problem, divide the expression in standard form. Given: \[ \frac{2.6 \times 10^8}{2 \times 10^4} \] First, divide the coefficients: \[ \frac{2.6}{2} = 1.3 \] Then, subtract the exponents of 10: \[ 10^{8 - 4} = 10^4 \] Combine these results: \[ 1.3 \times 10^4 \] The answer in standard form is: 1.3 × 10^4