What is the missing number in the simplified exponential expression 8^? ÷8^4=8^15
The missing number in the simplified exponential expression is -19.
To find the missing number in the simplified exponential expression 8^? ÷ 8^4 = 8^15, we can use the properties of exponents.
First, we can rearrange the equation using the rule that states when dividing the same base raised to different exponents, we subtract the exponents:
8^? ÷ 8^4 = 8^15
Using the rule mentioned above, we can rewrite the equation as:
8^? - 4 = 8^15
Next, we can isolate 8^? by moving 8^4 to the right side of the equation:
8^? = 8^15 + 4
Now, we can simplify by adding the exponents:
8^? = 8^(15+4)
Since the bases are the same, we can equate the exponents:
? = 15 + 4
Finally, we can simplify the right side of the equation:
? = 19
Therefore, the missing number in the simplified exponential expression 8^? ÷ 8^4 = 8^15 is 19.
To find the missing number in the given simplified exponential expression, let's break down the equation step by step.
The expression 8^? ÷ 8^4 = 8^15 can be rewritten as:
8^? / 8^4 = 8^15
When dividing exponential terms with the same base, we subtract the exponents:
8^(? - 4) = 8^15
Now, to solve for the missing number, we equate the exponents:
? - 4 = 15
To isolate the variable '?', we can add 4 to both sides of the equation:
? = 15 + 4
Simplifying the right side:
? = 19
Therefore, the missing number in the simplified expression is 19.