Give simplified form of \(\rm \frac{a^{10}\times b^{-7} \times c^{-4}}{a^{-5}\times b^2\times c^5}\).

Question

Question

This question was previously asked in

RRB Group D 30 Aug 2022 Shift 3 Official Paper

Answer 1

Concept used:

If base is same then ,

tⁿ/t¹ = t^n-1

Where t is any variable

Calculation:

Here, we have \(a^{10} \times b^{-7} \times c^{-4}\over a^{-5} \times b^2 \times c^5\)

⇒ a^{10 -(-5)} × b^-7-2 × c^-4-5 [ As tⁿ/t¹ = t^n-1]

⇒ a¹⁵ × b^-9 × c^-9

Hence, the required value is a¹⁵ × b^-9 × c^-9.