Question

3 rased to the power of minus 5 ×10 rased to the power minus 5 ×125 divided by 5 rased to the power of minus 7 × 6 rased to the power of minus 5 PLEASE ANSWER IT IT IS URGENT ​

Answer 1

Answer:

$\dfrac{3^{-5}\times 10^{-5} \times 125}{5^{-7}\times 6^{-5}}\\\\\implies \dfrac{5^7\times 6^5\times 125}{3^5\times 10^5}\\\\\implies \dfrac{5^7\times 2^5\times 3^5 \times 5^3}{3^5\times 2^5\times 5^5}\\\\\implies 5^{7+3-5}\times \times 3^{5-5} \times 2^{5-5}\\\\\implies 5^5 \times 3^0 \times 2^0\\\\\implies 5^5\times 1\\\\\implies 5^5$

Step-by-step explanation:

The basics of indices are used in the above problem .

$\bigstar{x^{-a}=\dfrac{1}{x^a}}$

Also the product rule and division rule is important :-

$a^b\times a^c=a^{b+a}\\\\\dfrac{a^b}{a^c}=a^{b-c}$

We also know that any non zero number raised to the power 0 is equal to 1 .

Note :-

$\dfrac{a}{a}=1\\\\\implies \dfrac{a^1}{a^1}=1\\\\\implies a^{1-1}=1\\\\\implies a^0=1$

a cannot be 0 otherwise the above expression will assume indeterminate form .

Answer 2

Here is your answer ☺️☺️❤️❤️

${5}^{5}$

Hope this helps you ❤️❤️☺️☺️