What is {234375000000-15/4 (510)^4}(510)^{-4} ?

The solution to {234375000000-15/4 (510)^4}(510)^{-4} is -2576005/9020268

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simplify {234375000000-15/4 (510)^4}(510)^{-4}

simplify

{234375000000 - \frac{15}{4} (510)^{4}} (510)^{- 4}

- \frac{2576005}{9020268}

Decimal Notation

- 0.28557 \dots

Solution steps

(234375000000 - \frac{15}{4} \cdot 51 0^{4}) \cdot 51 0^{- 4}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

51 0^{- 4} = \frac{1}{51 0 ^{4}}

= (234375000000 - \frac{15}{4} \cdot 51 0^{4}) \frac{1}{51 0 ^{4}}

Expand

(234375000000 - \frac{15}{4} \cdot 51 0^{4}) \frac{1}{51 0 ^{4}} : - \frac{2576005}{9020268}

= - \frac{2576005}{9020268}

3.33 \cdot 1 0^{- 8}

3.43 \cdot 1 0^{- 7}

π a^{2} \cdot 4 a^{2}

(72 e^{- 0.0673 (3)}) \cdot (- 0.0673 (3))

What is {234375000000-15/4 (510)^4}(510)^{-4} ?
The solution to {234375000000-15/4 (510)^4}(510)^{-4} is -2576005/9020268