Question

Write the number 6, point, 2, times, 10, to the power minus 56.2×10
−5
in standard form.

Answer 1

First rewrite the exponent:
-56.2 × 10⁻⁵ = -0.000562.

So the number is 6.2 × 10^(−0.000562) = 6.2 · 10^(−0.000562).

Evaluate 10^(−0.000562) = e^(−0.000562 ln 10) ≈ e^(−0.0012940528) ≈ 0.998706784.

Therefore the number in standard (decimal) form is approximately
6.19198206

(rounded, ≈ 6.19198).