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Evaluate:
(3.7 x 10-2) (1.2 x 103)​

Sagot :

Answer:

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 44.4[/tex]

Explanation:

Given

[tex](3.7 * 10^{-2}) (1.2 * 10^3)[/tex]

Required

Evaluate

[tex](3.7 * 10^{-2}) (1.2 * 10^3)[/tex]

Remove bracket

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 3.7 * 10^{-2}*1.2 * 10^3[/tex]

Rewrite as:

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 3.7 *1.2* 10^{-2} * 10^3[/tex]

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^{-2} * 10^3[/tex]

Apply law of indices

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^{-2+3}[/tex]

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10^1[/tex]

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 4.44* 10[/tex]

[tex](3.7 * 10^{-2}) (1.2 * 10^3) = 44.4[/tex]