Mathematics: Select all the pairs of equivalent expressions. (43)3 and 43 ⋅ 43 (34)4 and 38 ⋅ 38 64 ⋅ 34 and 188 43 ⋅ 53 and 203 (43)3 and 4^3⋅ 4^3 ⋅ 4^3 The digits after each number are all exponents btw

Select all the pairs of equivalent expressions.

Ответ:

natalie2sheffield

04.02.2022

Mathematics

$\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}$

Step-by-step explanation:

$a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================$

$(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================$

$6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================$

$4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3$

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Ответ:

alissa2151

18.02.2022

Mathematics

Since m || n, we know that the angles will be the same. This means that if angle B of m is 98 degrees, then angle B of n is also 98 degrees. So, x=98 degrees.

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Select all the pairs of equivalent expressions. (43)3 and 43 ⋅ 43
(34)4 and 38 ⋅ 38
64 ⋅ 34 and 188
43 ⋅ 53 and 203
(43)3 and 4^3⋅ 4^3 ⋅ 4^3
The digits after each number are all exponents btw

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