1. 6¹⁵ * 6⁻¹³
(6¹⁵ )/(6⁻¹³) = 6¹⁵⁻¹³ = 6² = 36
4⁻⁶ : 4⁻³ = 1/4⁶ : 1/4³
1/4⁶ : 1/4³ = 1/4⁶ * 4³/1 = 4³/4⁶ = 1/4³ = 1/64 = 0,015
(5⁻¹)³= 5⁻³ = 1 /125
2. (х⁻²)⁻⁴ * х⁻⁷ =х⁻²*⁻⁴ * х⁻⁷ =х⁸ * х⁻⁷ = х⁸⁺⁽⁻⁷⁾ = х¹ =х
Объяснение:
a^m * a^n = a^(m + n)
a^m : a^n = a^(m - n)
(a^m)^n = a^(m*n)
a^m * b^m = (a*b)^m
a^(-m) = 1/a^m
a*b = b* a
^ степень
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6^15 * 6^(-13) = 6^(15 - 13) = 6^2 = 36
4^(-6) : 4^(-3) = 4^(-6 - (-3)) = 4^(-3) = 1/4^3 = 1/64
(5^-1)^3 = 5^(-1*3) = 5^(-3) = 1/5^3 = 1/125
(x^-2)^(-4) * x^ (-7) = x^((-2)*(-4)) * x^(-7) = x^8 * x^(-7) = x^(8 - 7) = x
1.2a^(-5)b^8 * 5a^6b^(-6) = 1.2*5*a^(-5)*a^6*b^8*b^(-6) = 6*a^(-5 + 6)*b^(8 - 6) = 6ab^2
1. 6¹⁵ * 6⁻¹³
(6¹⁵ )/(6⁻¹³) = 6¹⁵⁻¹³ = 6² = 36
4⁻⁶ : 4⁻³ = 1/4⁶ : 1/4³
1/4⁶ : 1/4³ = 1/4⁶ * 4³/1 = 4³/4⁶ = 1/4³ = 1/64 = 0,015
(5⁻¹)³= 5⁻³ = 1 /125
2. (х⁻²)⁻⁴ * х⁻⁷ =х⁻²*⁻⁴ * х⁻⁷ =х⁸ * х⁻⁷ = х⁸⁺⁽⁻⁷⁾ = х¹ =х
Объяснение:
a^m * a^n = a^(m + n)
a^m : a^n = a^(m - n)
(a^m)^n = a^(m*n)
a^m * b^m = (a*b)^m
a^(-m) = 1/a^m
a*b = b* a
^ степень
---
6^15 * 6^(-13) = 6^(15 - 13) = 6^2 = 36
4^(-6) : 4^(-3) = 4^(-6 - (-3)) = 4^(-3) = 1/4^3 = 1/64
(5^-1)^3 = 5^(-1*3) = 5^(-3) = 1/5^3 = 1/125
---
(x^-2)^(-4) * x^ (-7) = x^((-2)*(-4)) * x^(-7) = x^8 * x^(-7) = x^(8 - 7) = x
1.2a^(-5)b^8 * 5a^6b^(-6) = 1.2*5*a^(-5)*a^6*b^8*b^(-6) = 6*a^(-5 + 6)*b^(8 - 6) = 6ab^2