Question

3 power minus 5 into 10 power minus 4 into 5 power 4 upon 5 power 2 into 6 power minus 5​

Answer 1

Answer:

answer is little bit wrong check the statement

Answer 2

The simplified form of the expression is $\dfrac{2}{25}$.

Step-by-step explanation:

Consider the provided expression.

$\dfrac{3^{-5}\cdot \:10^{-4}\cdot \:5^4}{5^2\cdot \:6^{-5}}$

Simplify the expression as shown:

=$\dfrac{3^{-5}\cdot \:(2\cdot5)^{-4}\cdot \:5^4}{5^2\cdot \:(2\cdot3)^{-5}}$

=$\dfrac{3^{-5}\cdot \:2^{-4}\cdot5^{-4}\cdot \:5^4}{5^2\cdot \:2^{-5}\cdot3^{-5}}$

=$\dfrac{3^{-5}\cdot \:2^{-4}}{5^2\cdot \:2^{-5}\cdot3^{-5}}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

=$\dfrac{3^{-5-(-5)}\cdot \:2^{-4-(-5)}}{5^2}$

=$\dfrac{3^{(-5+5)}\cdot \:2^{(-4+5)}}{25}$

=$\dfrac{2}{25}$

Hence, the simplified form of the expression is $\dfrac{2}{25}$.

#Learn more

All rules of exponent

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