Rewrite the fraction 7/8 to the -1 power without the exponent (7/8 to the negative 1 power

Mathematics

2 answers:

olga_2 [115]1 year ago

6 0

Answer:

Step-by-step explanation:

(7/8) to the negative power is 8/7

stellarik [79]1 year ago

4 0

Answer:

The answer is 8/7

Step-by-step explanation:

(7/8 to the negative 1 power is 8/7)

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3 years ago

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Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

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du/dx = -10x⁴

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$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$