What is (8.7*10^{-4})(8.7*10^{-4}*2)^2 ?

The solution to (8.7*10^{-4})(8.7*10^{-4}*2)^2 is (658503)/(2.5E14)

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simplify (8.710^{-4})(8.710^{-4}*2)^2

simplify

(8.7 \cdot 1 0^{- 4}) (8.7 \cdot 1 0^{- 4} \cdot 2)^{2}

\frac{658503}{2.5 E 14}

Solution steps

(8.7 \cdot 1 0^{- 4}) (8.7 \cdot 1 0^{- 4} \cdot 2)^{2}

Simplify

8.7 \cdot 1 0^{- 4} : 0.00087

= 0.00087 (8.7 \cdot 1 0^{- 4} \cdot 2)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(8.7 \cdot 1 0^{- 4} \cdot 2)^{2} = 8. 7^{2} (1 0^{- 4})^{2} \cdot 2^{2}

= 0.00087 \cdot 8. 7^{2} (1 0^{- 4})^{2} \cdot 2^{2}

8. 7^{2} = 75.69

= 0.00087 \cdot 75.69 (1 0^{- 4})^{2} \cdot 2^{2}

(1 0^{- 4})^{2} = \frac{1}{100000000}

= 0.00087 \cdot 75.69 \cdot \frac{1}{100000000} \cdot 2^{2}

2^{2} = 4

= 0.00087 \cdot 75.69 \cdot \frac{1}{100000000} \cdot 4

75.69 \cdot \frac{1}{100000000} \cdot 4 = \frac{75.69}{25000000}

= 0.00087 \cdot \frac{75.69}{25000000}

\frac{75.69}{25000000} = \frac{7569}{2500000000}

= 0.00087 \cdot \frac{7569}{2500000000}

0.00087 = \frac{87}{100000}

= \frac{87}{100000} \cdot \frac{7569}{2500000000}

\frac{87}{100000} \cdot \frac{7569}{2500000000} = \frac{658503}{2.5 E 14}

= \frac{658503}{2.5 E 14}

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0.83 \cdot e^{- 0.33 (1 - 0.75) \cdot 32}

3 (x - 2) (4 - 3 x)^{2} (25 - x^{2})^{2}

What is (8.7*10^{-4})(8.7*10^{-4}*2)^2 ?
The solution to (8.7*10^{-4})(8.7*10^{-4}*2)^2 is (658503)/(2.5E14)