Express in standard form:Express 2 years in seconds.

1.	Express in standard form:Express 2 years in seconds.
Answer» Given that, 2 years = 2 × 365 days (∵ 1 year = 365 days) = 2 × 365 × 24 (∵ 1 day = 24 hours) = 2 × 365 × 24 × 60 min (∵ 1 hr = 60 min) = 2 × 365 × 24 × 60 × 60 s (∵ 1 min = 60 s) = 63072000 s Standard form = 63072 × 10 × 10 × 10 = 63072 × 10³ = 6.3072 × 10⁴ × 10³ Using the law of exponent, a^m x aⁿ = a^m+n = 6.3072 × 10⁷ s ∴ The standard form is 6.3072 × 10⁷ s

Answer»

Given that, 2 years = 2 × 365 days (∵ 1 year = 365 days)

= 2 × 365 × 24 (∵ 1 day = 24 hours)

= 2 × 365 × 24 × 60 min (∵ 1 hr = 60 min)

= 2 × 365 × 24 × 60 × 60 s (∵ 1 min = 60 s)

= 63072000 s

Standard form = 63072 × 10 × 10 × 10

= 63072 × 10³

= 6.3072 × 10⁴ × 10³

Using the law of exponent, a^m x aⁿ = a^m+n

= 6.3072 × 10⁷ s

∴ The standard form is 6.3072 × 10⁷ s

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