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\(\left(-2\right)^x=\left(2^2\right)^2.\left(2^4\right)^2\)

\(\left(-2\right)^x=2^4.2^8=2^{12}\)

\(=>x=12\)

\(\left(-2\right)^x=\left(2^2\right)^5.\left(2^4\right)^2\)

\(\left(-2\right)^x=2^{10}.2^8\)

\(\left(-2\right)^x=2^{18}\)

\(=>x=18\)

(-2)^x = 4⁵.16²

(-2)^x = 2¹⁰ . 2⁸

(-2)^x = 2¹⁸ = (-2)¹⁸

=> x = 18

* Trả lời:

\(\left(-2\right)^x=4^5.16^2\)

\(\Leftrightarrow\left(-2\right)^x=\left(2^2\right)^5.\left(2^4\right)^2\)

\(\Leftrightarrow\left(-2\right)^x=2^{10}.2^8\)

\(\Leftrightarrow\left(-2\right)^x=2^{18}\)

\(\Leftrightarrow\left(-2\right)^x=\left(-2\right)^{18}\) ( \(\left(-2\right)^{18}=2^{18}\))

\(\Rightarrow x=18\)

(-2)^x = 4^5 . 16^2

=> (-2)^x = 4^5 . 4^4

=>(-2)^x = 4^9

=>(-2)^x = 2^18

<=> x = 18

Vậy x = 18

`(27^5 . 16^3)/(18^5 . 8^2)`

a) \(3^6.3^7\) \(=3^{13}\)

b) \(x^{10}:x^6:x\)

\(=x^{10}:x^7\)\(=x^3\)

c) \(a^5.a^9=a^{14}\)

\(a,=3^{6+7}=3^{13}\\ b,=x^{10-6-1}=x^3\\ c,=a^{5+9}=a^{14}\\ d,=2^3\cdot2^{15}\cdot2^{16}=2^{34}\\ e,=5^6\cdot5^5\cdot5^5=5^{16}\\ f,=a^{10+4-12}=a^2\)

d) \(2^3.8^5.16^4\)

\(=2^3.\left(2^3\right)^5.\left(2^4\right)^4\)

\(=2^3.2^{15}.2^{16}\)

\(=2^{34}\)

e) \(25^3.5^5.3125\)

\(=\left(5^2\right)^3.5^5.5^5\)

\(=5^6.5^5.5^5\)

\(=5^{16}\)

f) \(a^{10}.a^4:a^{12}\)

\(=a^{14}:a^{12}\)

\(=a^2\)