Question

so sánh:

a)10²⁰và90¹⁰

b)64⁸và 16¹²

^{Giup minh nha !!}

Answer 1

b) Ta có:

\(64^8=\left(8^2\right)^8=8^{16}=\left(2^3\right)^{16}=2^{48}\)

\(16^{12}=\left(2^4\right)^{12}=2^{48}\)

Vì \(2^{48}=2^{48}\) nên \(64^8=16^{12}\)
 

Answer 2

a) Ta có:
\(10^{20}=\left(2.5\right)^{20}=2^{20}.5^{20}\)

\(90^{10}=\left(2^2.3.5\right)^{10}=2^{20}.3^{10}.5^{10}\)

Vì \(2^{20}.5^{20}< 2^{20}.3^{10}.5^{10}\) nên \(10^{20}>90^{10}\)

Answer 3

tick nha:

a) 10\(^{20}\) = (10\(^2\))\(^{10}\) = 100\(^{10}\) > 90\(^{10}\)

Vậy 10\(^{20}\) > 90\(^{10}\) .

b) 64\(^8\) = (2\(^6\))\(^8\) = 2\(^{48}\).

16\(^{12}\) = (2\(^4\))\(^{12}\) = 2\(^{48}\).

Vậy 64\(^8\) = 16\(^{12}\) .

Answer 4

\(a.\)

\(Ta\) \(c\text{ó}:\)

\(10^{20}=\left(2.5\right)^{20}=2^{20}.5^{20}\)

\(90^{10}=\left(2^2.3.5\right)^{10}=2^{20}.3^{10}.5^{10}\)

 Vì \(2^{20}.5^{20}< 2^{20}.3^{10}.5^{10}\) nên \(10^{20}>90^{10}\)

Vậy :  \(10^{20}>90^{10}\)

Answer 5

\(b.\)

\(Ta\) \(c\text{ó}:\)

\(64^8=\left(8^2\right)^8=8^{16}=\left(2^3\right)^{16}=2^{48}\)

\(16^{12}=\left(2^4\right)^{12}=2^{48}\)

Vì \(2^{48}=2^{48}\) nên \(64^8=16^{12}\)

Vậy : \(64^8=16^{12}\)