Question

(u^-2)^-5 write your answer without using negative exponent

Answer 1

`u^(10)`

Explanation:

We can simplify the expression:

`\left(\frac{}{}u^(-2)\frac{}{}\right)^(\!-5)`

using the power of a power rule:

`\displaystyle \left(\frac{}{}x^a\frac{}{}\right)^(\!b) = \huge{x^(a \, \cdot\, b)}`

↓ applying the rule to the given expression

`\left(\frac{}{}u^(-2)\frac{}{}\right)^(\!-5) = u^((-2)\, \cdot \, (-5))`

↓ executing the multiplication in the exponent ...
`(-2)\cdot(-5) = 10`

`\huge\boxed{u^(10)}`