Question

If

\[ \left(\frac{3}{5}\right)^{3p-2} = \left(\frac{9}{25}\right)^8 \times \left(\frac{3}{5}\right)^{-3} \] 

then the value of \( 2p + 1 \) is:

• A. 10
• B. 11
• C. 14
• D. 15

Hint:

Always simplify the bases to the smallest prime-based fraction possible. Here, seeing that 9 and 25 are squares of 3 and 5 immediately points to the common base.

Answer 1

The Correct Option is B