Question

Simplify: 

1.  \(2 × 10^3\) 
2.  \(7^ 2 × 2^2\) 
3.  \(2^ 3 × 5\) 
4.  \(3 × 4^4\) 
5.  \(0 × 10^2\) 
6.  \(5^ 2 × 3^3\) 
7.  \(2^ 4 × 3^2\) 
8.  \(3^ 2 × 10^4\)

Answer 1

(i) \(2 \times 10^3 = 2 \times 10 \times 10 \times 10 = 2 \times 1000 = 2000\)

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(ii) \(7^2 \times 2^2 = 7 \times 7 \times 2 \times 2 = 49 \times 4 = 196\)

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(iii) \(23 \times 5 = 2 \times 2 \times 2 \times 5 = 8 \times 5 = 40\)

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(iv) \(3 \times 44 = 3 \times 4 \times 4 \times 4 \times 4 = 3 \times 256 = 768\)

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(v) \(0 \times 10^2 = 0 \times 10 \times 10 = 0\)

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(vi) \(5^2 \times 3^3 = 5 \times 5 \times 3 \times 3 \times 3 = 25 \times 27 = 675\)

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(vii) \(2^4 \times 3^2 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 16 \times 9 = 144\)

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(viii) \(3^2 \times 10^4 = 3 \times 3 \times 10 \times 10 \times 10 \times 10 = 9 \times 10000 = 90000\)