Question

Simplify and give the answer in exponential form: $(5^{24}÷5^6)\times 5^2$

• A. $5^8$
• B. $5^{15}$
• C. $5^{20}$
• D. $5^9$

Answer 1

The correct option is C $5^{20}$

$(5^{24}÷5^6)\times 5^2$

= $\left(5^{24-6}\right)\times 5^2$
[by, applying $(a^m÷a^n)=a^{m-n}$]

= $\left(5^{18}\right)\times 5^2$

= $\left(5^{18+2}\right)$
[by, applying $(a^m\times a^n)=a^{m+n}$]

= $5^{20}$