1. 1).√(-1/2)^2=1/2=0,5-в
2). 8^2/3=(2^3)^2/3=2^2=4-д
3). log1/2(10)=-log2(10)=-log2(2*5)=-(log2(2)+log2(5))=-(1+log2(5))=-1-log2(5)≈-3,32...-а
4). |1/2-2|=|-3/2|=3/2=1,5-г
2. 1).2а^5/а^6=2/а=2а^-1-г
2). (2а)^5*а^6=32а^5*а^6=32а^11-а
3). (2а^6)^5=32а^30-д
4). 6√64а^5=6√2^6а^5=6√2^6*6√а^5=2 *6√а^5=2а^5/6-б
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Answers & Comments
1. 1).√(-1/2)^2=1/2=0,5-в
2). 8^2/3=(2^3)^2/3=2^2=4-д
3). log1/2(10)=-log2(10)=-log2(2*5)=-(log2(2)+log2(5))=-(1+log2(5))=-1-log2(5)≈-3,32...-а
4). |1/2-2|=|-3/2|=3/2=1,5-г
2. 1).2а^5/а^6=2/а=2а^-1-г
2). (2а)^5*а^6=32а^5*а^6=32а^11-а
3). (2а^6)^5=32а^30-д
4). 6√64а^5=6√2^6а^5=6√2^6*6√а^5=2 *6√а^5=2а^5/6-б