Question

Find the value of: $-5^{10}\times \left[\right(-5{)}^{-8}\times (-5{)}^{-4}]$

• A. $25$
• B. $-25$
• C. $-\frac{1}{25}$
• D. $\frac{1}{25}$

Answer 1

The correct option is D $\frac{1}{25}$

$-5^{10}\times \left[\right(-5{)}^{-8}\times (-5{)}^{-4}]=-5^{10}\times \left[\right(-5{)}^{-8-4}]$

$=-5^{10}\times -5^{-12}$

$=(-5{)}^{10-12}$

$=(-5{)}^{-2}$$=\frac{1}{(-5{)}^2}$$=\frac{1}{25}$

So. option $D$ is correct.