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simplify and write in usual form ((5.5 * 10 ^ - 4)(6 * 10 ^ 7))/((3.3 * 10 ^ - 6) * (2 * 10 ^ 4) ^ 2)​

User Vennsoh
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2 Answers

5 votes
To simplify and write the expression in usual form, we can perform the calculations and simplify the terms with exponents.

Let's break down the expression step by step:

((5.5 * 10^-4)(6 * 10^7))/((3.3 * 10^-6) * (2 * 10^4)^2)

First, we can multiply the numerators and denominators separately:

= (5.5 * 6 * 10^-4 * 10^7) / (3.3 * 10^-6 * 2^2 * (10^4)^2)

= (33 * 10^3 * 10^-4 * 10^7) / (3.3 * 10^-6 * 4 * 10^8)

Next, let's simplify the terms with exponents:

= (33 * 10^(3-4+7)) / (3.3 * 10^(-6-8))

= (33 * 10^6) / (3.3 * 10^-14)

Now, we can simplify further by dividing the coefficients and subtracting the exponents:

= (33 / 3.3) * 10^(6 - (-14))

= 10 * 10^20

Finally, we can write the expression in usual form:

= 10^1 * 10^20

= 10^(1 + 20)

= 10^21

Therefore, the simplified expression in usual form is 10^21.
User Raul Laasner
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7.3k points
3 votes

Explanation:

Expand the given 10 n and multiply it by the given number. 2. Then the result will be in the usual form.

User Suen
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7.6k points

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