Question

Express each of the following in the form k × 10 raise to the power n; ( 1 greater than k and k is less than 10
(1.25 × 10raise to the power 7) ÷ (5× 10 raise to the power 3)

Answer 1

Given :  $\frac{1.25 \times 10^7}{5 \times 10^3}$   (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:

$\frac{1.25 \times 10^7}{5 \times 10^3}$

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

using nᵃ⁺ᵇ = nᵃ  × nᵇ

= $\frac{1.25 \times 10^4 \times 10^3}{5 \times 10^3}$

= $\frac{1.25 \times 10^4 }{5 }$

= $\frac{1.25 \times 10^3 \times 10 }{5 }$

= 1.25 x 10³  * 2

= 5 * 10³

$\frac{1.25 \times 10^7}{5 \times 10^3}$  = 5 * 10³

Learn more:

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Answer 2

Answer:

$2.5 \times 10 ^2$

Step-by-step explanation:

=> 1.25× 10^7 ÷ 5 ×10^3

=> 1.25 ×10^7 × 1/5 ×10^3

=> 125 × 10^7/ 100 ×1/ 5× 10^ 3

=> 125 × 10 ^ 5 × 1/ 5 ×10 ^3

=> 125 × 10^5/ 5×10^3

Dividing 125 by 5 and 10^5 by 10^3....we get

=> 25×10^2

=> 2500

=> 2.5 × 10^3