Question

Simplify: $(2^{20}÷2^{15})\times 2^3$

• A. $2^8$
• B. $2^{15}$
• C. $2^4$
• D. $2^2$

Answer 1

The correct option is A $2^8$

By the rule of dividing the powers with same base :$(a^m÷a^n)=a^{(m-n)}$
$(2^{20}÷2^{15})$ can be simplified as,
$=2^{20-15}$
$=2^5$
Then,
By the rule of multiplying the powers with same base : $(a^m\times a^n)=a^{m+n}$
$2^5\times 2^3$ can be simplified as,
$=2^{(5+3)}$
$=2^8$