Question

Simplify and express in exponential form:
${25}^4÷5^{-3}$

• A. $5^5$
• B. $3^5$
• C. $5^{11}$
• D. ${25}^2$

Answer 1

The correct option is C $5^{11}$

${25}^4÷5^{-3}={\left(5^2\right)}^4÷5^{-3}=5^{2\times 4}÷5^{-3}[\because (a^m{)}^n=a^{m\times n}]=5^8÷5^{-3}=5^{8-(-3)}[\because a^m÷a^n=a^{m-n}]=5^{8+3}=5^{11}$