Final answer:
To solve 3^4 + 3^2 = 9x (blank), calculate the values for each term, add them, and then divide by 9 to isolate the blank. The answer is 10, following the basic power rule for exponents.
Step-by-step explanation:
The question provided is asking to find a number that makes the equation 34 + 32 = 9x (blank) true. To find the blank, we can solve the equation step by step.
First, calculate the values of 34 and 32:
- 34 = 3 × 3 × 3 × 3 = 81
- 32 = 3 × 3 = 9
Add these two results together:
81 + 9 = 90
Now, we have the equation 90 = 9x (blank). To find the blank, we divide 90 by 9:
90 ÷ 9 = 10
Therefore, the number that should come in the blank to make the statement true is 10.
This conclusion is based on a basic power rule for exponents, which states that xpxq = x(p+q), and in cases where the base and the exponent are the same, you can simply add the exponents.