Question

What is the value of x in the product of powers below?

6 Superscript 9 times 6 Superscript x = 6 squared

Answer 1

To solve for x in the equation:

6^9 * 6^x = 6^2

We can use the rule of exponents that says when multiplying powers with the same base, we can add the exponents:

6^(9+x) = 6^2

Now we can see that the bases are the same, so the exponents must be equal:

9 + x = 2

Solving for x, we get:

x = 2 - 9 = -7

Therefore, the value of x is -7.