Question

A number to the 9th power divided by the same number to the 6th power equals 343. What is the number?

Answer 1

Let the number = X

We have X^9 / X^6 = 343

When dividing powers, subtract the powers: 9-6 = 3

So X^9 / X^6 = 343 becomes X^3 = 343

X = 343^1/3

X = 7

The number is 7.