Question

Câu 7

3. 2^{4 -} 2 . 2⁴

633 - { [ 105 + 3 ) : 3 ] -3 }

bài 9

4 ^x-3 -3 . 4² = 4²

Answer 1

Bài 7:

3 . 2⁴ - 2 . 2⁴

= (3 - 2) . 2⁴

= 1 . 2⁴

= 2⁴.

633 - { [(105 + 3) : 3] - 3}

= 633 - { [108 : 3] - 3}

= 633 - {36 - 3}

= 633 - 33

= 600.

Bài 9:

4^{x - 3} - 3 . 4² = 4²

4^{x - 3} - 3 . 16 = 16

4^{x - 3} - 48 = 16

4^{x - 3} = 16 + 48

4^{x - 3} = 64

\(\Rightarrow\) 4^{x - 3} = 4³

\(\Rightarrow\) x - 3 = 3

x = 3 + 3

x = 6.

Answer 2

\(3.2^4-2.2^4\)

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

\(=2^4.1\)

\(=2^4=16\)

.

\(633-\left\{\left[\left(105+3\right):3\right]-3\right\}\)

\(=633-\left\{\left[108:3\right]-3\right\}\)

\(=633-\left\{36-3\right\}\)

\(=633-33\)

\(=600\)

.

\(4^{x-3}-3.4^2=4^2\)

\(4^{x-3}-4^2=3.4^2\)

\(4^{x-3}-4^2=48\)

\(4^{x-3}=48+4^2\)

\(4^{x-3}=64\)

Ta có: \(4^3=64\)

\(\Rightarrow4^{x-3}=4^3\)

\(\Rightarrow4^x:4^3=4^3\)

\(\Rightarrow4^x=4^3:4^3\)

\(4^x=4^0\)

\(\Rightarrow x=0\)

Vậy \(x=0\)

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