7^?/7^5 = 7^12
To find the value of '?', we can rewrite the equation using the exponent rule for division:
7^?/7^5 = 7^(12-5)
7^?/7^5 = 7^7
Since the bases are the same, we can equate the exponents:
? = 7
Therefore, 7^7/7^5 = 7^12 is true.
To solve the equation 7^?/7^5 = 7^12, we can use the property of exponents which states that when you divide two numbers with the same base, you subtract the exponents.
So, by applying this property, we can rewrite the equation as:
7^? - 5 = 7^12
Now, since the bases (7) are the same, we can set the exponents equal to each other:
? - 5 = 12
To solve for ?, we can isolate ? by adding 5 to both sides of the equation:
? = 12 + 5
Simplifying further:
? = 17
Therefore, the value of ? in the equation 7^?/7^5 = 7^12 is 17.
To find the value of the question mark in the equation 7^? / 7^5 = 7^12, we can use the property of exponents that states when you divide two numbers with the same base, you subtract the exponents.
Let's break down the equation step by step:
1. Start with the equation 7^? / 7^5 = 7^12.
2. Apply the exponent rule and subtract the exponents: ? - 5 = 12.
3. Simplify the equation: ? = 12 + 5.
4. Calculate: ? = 17.
So, the value of the question mark in the equation is 17.