Question

Calculeaza folosind regula (a^m)^n=a^m*n:
e)(7^30)^0*(49^5)^3:(7^6)^5
h)(2^3)^5*(4^3)^5:(8^3)^4

^=la puterea
*=ori

Va rog ajutati-ma!​

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Answer 1

Răspuns:

Explicație pas cu pas:

Calculeaza folosind regula (a^m)^n=a^m*n:

e)(7^30)^0*(49^5)^3:(7^6)^5

h)(2^3)^5*(4^3)^5:(8^3)^4

^=la puterea

*=ori

e) (7³⁰)⁰*(49⁵)³:(7⁶)⁵=7⁽³⁰*⁰⁾*49⁽⁵*³⁾:7⁽⁶*⁵⁾=7⁰*49¹⁵:7³⁰=1*(7²)¹⁵:7³⁰=7⁽²*¹⁵⁾:7³⁰= 7³⁰:7³⁰=7⁽³⁰⁻³⁰⁾=7⁰=1

h) (2³)⁵*(4³)⁵:(8³)⁴=2⁽³*⁵⁾*4⁽³*⁵⁾:8⁽³*⁴⁾=2¹⁵*4¹⁵:8¹²=(2*4)¹⁵:8¹²=8¹⁵:8¹²=8⁽¹⁵⁻¹²⁾=8³