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Algebra Level 1

5 2 × 1 0 3 − 2 10 = ? \large 5^2 \times 10^3-2^{10} =\, ?


The answer is 23976.

Aryan Sanghi by Aryan Sanghi , 17, India

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3 solutions

Mohammad Khaza
Jul 28, 2017

5 2 × 1 0 3 − 2 10 5^2 \times 10^3 -2^{10}

= 25 × 1000 − 4 5 25 \times 1000 -4^5

= 25000 − 4 2 × 4 2 × 4 25000 - 4^2 \times 4^2 \times 4

= 25000 − ( 16 × 16 × 4 ) 25000-(16\times 16 \times 4)

= 25000 − 1024 25000-1024

= 23976 23976

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
Jun 2, 2016

5 2 × 10 3 − 2 10 = 25000 − 1024 = 23976 5^2 × {10}^3 - 2^{10} = 25000 - 1024 = \color{#69047E}{\boxed{23976}} .

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Mateus Gomes
Feb 2, 2016

5 2 × 1 0 3 − 2 10 = 23976 \large 5^2 \times 10^3-2^{10} =\, 23976

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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