1.

3. Express each of the following in the form k * 10 ^ n; (1

Answer»

Answer:

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Step-by-step explanation:

GIVEN :  \frac{1.25 \times 10^7}{5 \times 10^3}5×1031.25×107   (1.25 × 10raise to the POWER 7) ÷ (5× 10 raise to the power 3)

To find :  Express in k × 10 raise to the power n    ( 1 < k  < 10)

Solution:

\frac{1.25 \times 10^7}{5 \times 10^3}5×1031.25×107

=  \frac{1.25 \times 10^{(4+3)}}{5 \times 10^3}5×1031.25×10(4+3)

USING nᵃ⁺ᵇ = nᵃ  × nᵇ

= \frac{1.25 \times 10^4 \times 10^3}{5 \times 10^3}5×1031.25×104×103

= \frac{1.25 \times 10^4 }{5 }51.25×104

= \frac{1.25 \times 10^3 \times 10 }{5 }51.25×103×10

= 1.25 X 10³  * 2

= 5 * 10³

\frac{1.25 \times 10^7}{5 \times 10^3}5×1031.25×107  = 5 * 10³

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