How do you evaluate $\frac{7.5 \times 10^{5}}{2.5 \times 10^{4}}$ $(7.5times10^5)/(2.5times10^4)$ ?

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Answer 1 · 2018-07-10T05:11:14

$\frac{7.5}{2.5} = 3$ $7.5/2.5=3$

$\frac{10^{5}}{10^{4}} = 10^{1}$ $10^5/10^4=10^1$

$\Rightarrow 3 \times 10^{1}$ $=> 3xx10^1$

Answer 2 · 2018-07-10T05:15:51

$\frac{7.5 \times 10^{5}}{2.5 \times 10^{4}} = 30$ $(7.5xx10^5)/(2.5xx10^4)=30$

Given:

$\frac{7.5 \times 10^{5}}{2.5 \times 10^{4}}$ $(7.5xx10^5)/(2.5xx10^4)$

Apply the quotient rule of exponents: $\frac{a^{m}}{a^{n}} = a^{m - n}$ $a^m/a^n=a^(m-n)$

$\frac{7.5 \times 10^{5 - 4}}{2.5}$ $(7.5xx10^(5-4))/2.5$

Simplify.

$\frac{7.5 \times 10^{1}}{2.5}$ $(7.5xx10^1)/2.5$

Divide the constants.

$\frac{7.5}{2.5} \times 10^{1}$ $7.5/2.5xx10^1$

Simplify.

$3 \times 10^{1}$ $3xx10^1$

Simplify.

$30$ $30$

How do you evaluate 7.5×1052.5×104(7.5times10^5)/(2.5times10^4)?