Question

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

6 Superscript 9 times 6 Superscript x = 6 squared
Negative 11
negative 7
7
11

Answer 1

Explanation:

We can start by simplifying the left side of the equation using the product of powers rule, which states that when we multiply two powers with the same base, we can add their exponents.

6^9 * 6^x = 6^2

Now we can use the rule to add the exponents on the left side of the equation:

6^(9+x) = 6^2

Since the bases are the same, we can equate the exponents:

9 + x = 2

Subtracting 9 from both sides gives us:

x = -7

Therefore, the value of x in the product of powers equation is -7.