The value of \frac{0.08 \times0.08 \times0.08 +0.02\times 0.02 \times0.02}{ 0.08\times 0.08- 0.0016 +0.02 \times0.02} is simplified to:

Powers and Roots Practice Test 4

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The value of

{0.08 ×0.08 ×0.08 +0.02× 0.02 ×0.02}/{ 0.08× 0.08- 0.0016 +0.02 ×0.02}

is simplified to:

Solution:

{0.08 ×0.08 ×0.08 +0.02× 0.02 ×0.02}/{ 0.08× 0.08- 0.0016 +0.02 ×0.02}

We have an identify

a^3+b^3=(a+b)(a^2-ab+b^2)

={(0.08)^3 + (0.02)^3}/{ (0.08)^2 - (0.08)(0.02) +(0.02)^2 }

={(0.08+0.02)[{ (0.08)^2 - (0.08)(0.02) +(0.02)^2 }]}/[{ (0.08)^2 - (0.08)(0.02) +(0.02)^2 }]

= 0.08 +0.02= 0.10

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