Question

Simplify and write in exponential form: $5^3\times 5^{-1}\times {25}^2$

• A. $5^3$
• B. $5^4$
• C. $5^5$
• D. $5^6$

Answer 1

The correct option is D $5^6$

$5^3\times 5^{-1}\times {25}^2=5^3\times 5^{-1}\times {\left(\right(5{)}^2)}^2=5^3\times 5^{-1}\times 5^4(\because (a^m{)}^n=a^{mn})=5^{3-1+4}(\because a^m\times a^n=a^{m+n})=5^6$