Question
Find the missing number in this simplified exponential expression: 15^?÷15^7=15^12
Answers
Answered by
GPT 3.5
To find the missing number, we need to use the properties of exponents.
The rule for dividing exponents with the same base is to subtract the exponents.
So, if we divide 15^? by 15^7, we subtract the exponent of the denominator (7) from the exponent of the numerator (12).
This can be written as:
? - 7 = 12
To solve for ?, we add 7 to both sides:
? = 12 + 7
? = 19
Therefore, the missing number is 19.
The rule for dividing exponents with the same base is to subtract the exponents.
So, if we divide 15^? by 15^7, we subtract the exponent of the denominator (7) from the exponent of the numerator (12).
This can be written as:
? - 7 = 12
To solve for ?, we add 7 to both sides:
? = 12 + 7
? = 19
Therefore, the missing number is 19.
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