IPMAT Rohtak 2019 (QA) - Simplification: 25^2.7 x 5^4.2 5^5.4 = ? | PYQs + Solutions

IPMAT Rohtak 2019

Algebra

Indices

Conceptual

Simplification: $25^{2.7} \times 5^{4.2} \div 5^{5.4} = ?$

5^4

5^{3.2}

5^{4.1}

5^{4.2}

✅ Correct Option: 4

We can rewrite the equation as:

(5^2)^{2.7}\times5^{4.2}\div5^{5.4}

=5^{5.4}\times5^{4.2}\div5^{5.4}

We know that powers add when multiply and subtract when divided.

=5^{9.6}\div5^{5.4}=5^{4.2}

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Multiplication (same base)

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Division (same base)