Question
Simplify and express the following in exponential form:
$\left\{\left(2^3\right)^4 \times 2^8\right\} + 2^{12}$
$\left\{\left(2^3\right)^4 \times 2^8\right\} + 2^{12}$
✓
Answer
$\left\{\left(2^3\right)^4 \times 2^8\right\} \div 2^{12}$
$=\left\{\left(2^{12} \times 2^8\right\} \div 2^{12}\right.$
$=2^{(12+8)} \div 2^{12}$
$=2^{20} \div 2^{12}$
$=2^{(20-12)}=2^8$
$=\left\{\left(2^{12} \times 2^8\right\} \div 2^{12}\right.$
$=2^{(12+8)} \div 2^{12}$
$=2^{20} \div 2^{12}$
$=2^{(20-12)}=2^8$
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