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Find the value of (?)​61.2×36?×302.4×251.3=3056^{1.2}×36^?×30^{2.4}×25^{1.3}=30^561.2×36?×302.4×251.3=305​​
Question

Find the value of (?)

61.2×36?×302.4×251.3=3056^{1.2}×36^?×30^{2.4}×25^{1.3}=30^5​​

A.

2.6

B.

0.7

C.

1.4

D.

0.1

Correct option is B

Given:

61.2×36?×302.4×251.3=3056^{1.2} \times 36^{?} \times 30^{2.4} \times 25^{1.3} = 30^5​​

Concept Used:

am×an=am+na^{m} \times a^{n} = a^{m+n}

Solution:

21.2×31.2×22?×32?×22.4×32.4×52.4×52.6=25×35×552^{1.2} \times 3^{1.2} \times 2^{2?} \times 3^{2?}\times 2^{2.4} \times 3^{2.4}\times 5^{2.4}\times 5^{2.6} = 2^5 \times 3^5 \times 5^5​​

Power of 2:

1.2 + 2? + 2.4 = 5

2? = 5 - 3.6 = 1.4

? = 0.7

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