Question

5 raise to power 7 into 5 raise to power minus 10
$5 ^{7} \times 5 {}^{ - 10}$

Answer 1

Given,
5^7 × 5^(-10)
We know that if base are same then exponents can be added as single base. applying this property on this problem we get,
→5^(7-10)
→5^(-3)
we know that a^(-n)= 1/a^n
So,

→5^(-3)
→1/5³
→1/125 Ans.

Answer 2

Bonjour!

$= > {5}^{7} \times {5}^{ - 10} \\ \\ = > ( {5})^{7 + ( - 10)} \\ \\ = > {5}^{ - 3} \\ \\ = > \frac{1}{ {5}^{3} } \\ \\ = > \frac{1}{125} \: \: \: \: (ans)$

When the base of the exponent are same then the power of the exponent can be added to get the answer.

As, in the above question we can see that the base is 5 so we added the power to get the answer.

Hope this helps...:)