Index formRead asProduct formBaseIndexValue(1) 545 to the power 45 × 5 × 5 × 554625(2) 152the square of 1515 × 15152225(3) 171 to the power 71 × 1 × 1 × 1 × 1 × 1 × 1171(4) 252 to the power 52 × 2 × 2 × 2 × 22532(5) 103the cube of 1010 × 10 × 101031000
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Explanation:
Correct option is B)
252=
2×2
×
3×3
×7
The prime factor 7 does not appear in pairs. To make 252 a perfect square we need one more 7.
Hence, the smallest number by which 252 must be multiplied so that
the product is a perfect square is 7.
And, 252×7=
2×2
×
3×3
×
7×7
252×7
=
2×2
×
3×3
×
7×7
=2×3×7=42
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