Evaluate the expression. Write your answer in scientific notation.
$(7.26 \times 10^{4}) + (3.4 \times 10^{4})$

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Solution

Step1. To solve the given expression , we can take both powers out using distributive property of multiplication over addition.
$= (7.26 \times 10^{4}) + (3.4 \times 10^{4}) = 10^{4} \times (7.26 + 3.4)$
Step2. Now solving addition in brackets we get,
$= 10^{4} \times (10.66)$
Step3. Solving power and then multipliying in last , we get
$= 10000 \times (10.66) = 106600$

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