Question

Say true or false and justify your answer: $2^3\times 3^2=6^5$

• A. True
• B. False

Answer 1

The correct option is B False

Explanation

Let us solve the given exponential equation by considering Left Hand Side (LHS) and Right-Hand Side (RHS).

The Left-Hand Side (LHS)=$2^3\times 3^2$

Expansion of $2^3\times 3^2=2\times 2\times 2\times 3\times 3=72$

Considering RHS = $6^5$

Expansion of $6^5=6\times 6\times 6\times 6\times 6=7776$

By comparing LHS and RHS,

$72\ne 7776$

LHS ≠ RHS

Hence, the given statement is false.