Decimal Exponent Simplification

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Q. \( (0.00243)^{\frac{3}{5}} + (0.0256)^{\frac{3}{4}} \)
(a) 0.083    (b) 0.073    (c) 0.081    (d) 0.091

✏️ Solution

\( 0.00243 = (0.3)^5 \)

\( (0.00243)^{3/5} = (0.3)^3 = 0.027 \)

\( 0.0256 = (0.4)^4 \)

\( (0.0256)^{3/4} = (0.4)^3 = 0.064 \)

\( = 0.027 + 0.064 \)

\( = 0.091 \)

Correct Option: (d) 0.091

\( \boxed{0.091} \)

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