Question

PLEASEE HELP!! I WILL MARK BRAINLIEST!

Answer 1

The expression in scientific notation is given as follows:

3.5 x 10³.

What is scientific notation?

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$.

For this problem, the expression is given by:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}$

When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:

$10^2 \times 10^4 = 10^6$

5 x 4.2 = 21, hence the expression is:

$\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}$

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

$\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3$

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

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