4⁸.8⁴=(2²)⁸.(2³)⁴=2¹⁶.2¹²=2²⁸

4⁸ x 8⁴=(2²)⁸x(2³)⁴=2¹⁶x2¹²=2²⁸

\(4^8\cdot8^4=2^{16}\cdot2^{12}=2^{28}\)

2 ^ 10 . 15 + 2 ^ 10 . 85

= 2 ^ 10 . ( 15 + 55 )

= 2 ^ 10 . 100

= 1024 . 100

= 102400

= 320 ^ 2

Lời giải:

\(2^{20}.15+2^{20}.85=2^{20}(15+85)=2^{20}.100=(2^{10})^2.10^2\)

\(=(2^{10}.10)^2=10240^2\)

\(2^{20}\cdot15+2^{20}\cdot85=2^{20}\cdot100=10240^2\)

\(\dfrac{9^{85}}{\left(-3\right)^{40}}=\dfrac{9^{85}}{3^{40}}=\dfrac{3^{255}}{3^{40}}=3^{215}\)

\(\frac{9^{85}}{(-3)^{40}}= \frac{\left [ (3)^{2} \right ]^{85}}{3^{40}}= \frac{3^{170}}{3^{40}}= 3^{130}\)

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   1024:8²

=2¹⁰:(2³)²

=2¹⁰:2⁶

=2⁴

\(1024:8^2=\frac{2^{10}}{2^6}=2^4\)

\(1024:8^2=2^{10}:2^6=2^{10-6}=2^4\)

Tk mình nha.