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Step-by-step explanation:
1)2²×3⁴×4/2×32
=8×81×4/64
it can be also written as= 8×9²×2²/8²
=8×(9×2)²/8²
=8×18²/8²
=18²/8 or 9²/2 or 18²/2³
2)[(5²)³×5⁴]÷5^7
=[(5^2×3)×5⁴÷5^7
=(5^6)×5^4÷5^7
=5^6+4÷5^7
=5^10÷5^7
=5^10-7
=5^3
3)25⁴÷5³
=it can also written as =(5²)⁴÷5³
=5^2×4÷5³
=5^8÷5³
=5^8-3
=5^5
4)3×7²×11^8/21×11³
=7×11^8/11³
=7×11^5
5)3^7/3⁴×3³
=3^7/3^4+3
=3^7/3^7
=1
6)2°+3°+4°
=1+1+1
=3
7)2°×3°×4°
=1×1×1
=1
8)(3°+2°)×5°
=(1+1)×1
=2×1
=2
9)2^8×a^5/4³×a³
=after canceling we get 2²×a²
=(2a)²
10)[a^5/a³]×a^8
=after canceling result is a²×a^8
=a^2+8
=a^10
11)4^5×a^8×b^3/4^5×a^5×b²
=after canceling result is a³b
12)(2³×2)²
=(2^3+1)²
=(2⁴)²
=2^4×2
=2^8
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