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A plot in Jaipur has an area of 1960 square metres. Write 1960 in prime-power form.

Class 7Prime Factors in Exponent FormNumber System

A $2^{3} \times 5 \times 7^{2}$
B $2^{3} \times 5 \times 7$
C $2^{3} \times 5^{2} \times 7$
D $2^{2} \times 5 \times 7^{2}$

Step-by-Step Solution

1960 =

196 \times 10 = (2^{2} \times 7^{2}) \times (2 \times 5) = 2^{3} \times 5 \times 7^{2}

. Check:

8 \times 5 \times 49 = 1960

.

Answer: A)

2^{3} \times 5 \times 7^{2}

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