How do you evaluate $(7.5times10^6)(2.6times10^-2)$ ?

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Answer 1 · 2017-05-31T03:43:58

The answer is $19.5xx10^4$ , or $1.95xx10^5$ .

Evaluate:

$(7.5xx10^6)(2.6xx10^(-2))$

If you are not using a calculator, multiply the two coefficients, $7.5$ and $2.6$ .

$7.5xx2.6=19.5$

Next multiply the powers of the base $10$ .

$10^6xx10^(-2)$

Use the product rule of exponents: $a^ma^n=a^(m+n)$

$10^(6+(-2))=10^4$

Put everything back together.

$19.5xx10^4$

If you want the answer in scientific notation, move the decimal one place to the left and increase the exponent to by $1$ .

$1.95xx10^5$

How do you evaluate (7.5times10^6)(2.6times10^-2)(7.5times10^6)(2.6times10^-2)?