Missing exponent of
1/169=(1/13) please explain how I can find the missing exponent
1/169=(1/13^2)
Personal Math Trainer Online Assessment and Interventionmy.hrw.com Name Class Date Write the missing exponent 26. 1/169= ( 1/13)
To find the missing exponent in the equation (1/169) = (1/13), we need to determine the power to which 1/13 should be raised to equal 1/169. Here's how you can do it:
Step 1: Recall the exponent rule for division.
When dividing powers with the same base, you subtract the exponents. In other words, a^m / a^n = a^(m - n). This rule holds true for any non-zero number a.
Step 2: Apply the exponent rule.
In this case, we have (1/169) = (1/13)^x. The base is 1/13. So, we need to determine the value of `x`, which represents the missing exponent.
Step 3: Use the exponent rule for division.
Since both sides of the equation have the same base, 1/13, we can use the exponent rule to write:
1/169 = 1/13^x as 1/13^(2*1) = 1/13^x.
Step 4: Set up the equation.
Now set the exponents equal to each other:
2*1 = x.
Step 5: Solve for x.
By simplifying the equation, we have:
2 = x.
Therefore, the missing exponent is x = 2. The equation (1/169) = (1/13)² is true, meaning that raising 1/13 to the power of 2 will give us 1/169.