Question

Simplify the expression. 2^4⋅2^5−(2^2)^2

Answer 1

2^4 = 16 and 2^5 = 32
32x16=512

2^2 = 4 and 4^2 = 16

512-16=496

Answer 2

$2^4\cdot2^5-(2^2)^2\\\\used:\ (a^n)^m=a^{nm}\\\\=2^4\cdot2^5-2^{2\cdot2}\\\\=2^4\cdot2^5-2^4=2^4(2^5-1)$

$2^4=2\cdot2\cdot2\cdot2\cdot2=16\\2^5=2^4\cdot2=16\cdot2=32\\\\=2^4(2^5-1)=16\cdot(32-1)=16\cdot31=496$