Question

Scrieti ca o singura putere:
2^14x3^14x5^14:6^14:5^12
81^4x9^6:(3^4)^7
Det nr nat n:
2^n+2=32
3^n-3=27
5^n-2=1
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Answer 1

(2x3x5:6)^14:5^12=5^14:5^12=5^14-12=5^2.
81^4×9^6:(3^4)^7=(9^2)^4×9^6÷(9)^2×7=9^8×9^6:9^14=9^8+6-14=9^0=1.
2^n+2=32
2^n+2=2^5
n+2=5
n=3 .
3^n-3=27
3^n-3=3^3
n-3=3
n=6 .
5^n-2=1
5^n-2=5^0
n-2=0
n=2