QuestionWork out the value of $w$ in this equality: $$9^{3} \times 9^{2} \times 9^{w}=9^{42}$$

Studdy Solution
Solve for $w$ by combining like terms and isolating $w$:
$$5 + w = 42$$
Subtract 5 from both sides:
$$w = 42 - 5$$ $$w = 37$$
The value of $w$ is:
$$\boxed{37}$$