Question

The equivalent expression for the given statement,'the product of m raised to the power of 2 and n, subtracted from the product of five and p', is

• A. $5p-m^{2}n$
• B. $5p-n^{2}m$
• C. $5p+m^{2}n$
• D. $5p+n^{2}m$

Answer 1

The correct option is A $5p-m^{2}n$

Let us understand the given statement:

$\text{The phrase}mraisedtothepowerof2\text{stands for}{m}^2.$

$\therefore \text{The product of}mraisedtothepowerof2\text{and}n\text{is}{m}^{2}n.$

$\text{Similarly, the product of}five\text{and}p\text{is}5p.$

$\therefore {\text{The product of,}}^{\prime }mraisedtothepowerof2\text{and}n,\text{subtracted from the}\text{product of}five\text{and}{p}^{\prime },⟹5p-m^{2}n$