What is the missing exponent in the following equation?
h^450/h^? = h^215
To find the missing exponent in this equation, we can use the rule of subtracting exponents when dividing like bases.
Since the bases (h) in both numerator and denominator are the same, we subtract the exponents:
450 - ? = 215
To solve for ?, we want to isolate the variable, so we can rearrange the equation:
450 - 215 = ?
? = 235
Therefore, the missing exponent is 235.
To find the missing exponent in the equation, we can use the rule of exponents that states, "When dividing two numbers with the same base, subtract the exponents."
In the given equation h^450/h^? = h^215, we have the same base on both sides, which is h.
Using the exponent rule, we subtract the exponents on the left side of the equation:
h^450/h^? = h^(450 - ?)
Now we can rewrite the equation as:
h^(450 - ?) = h^215
Since the bases are equal (h), we can set the exponents equal to each other:
450 - ? = 215
To find the value of ?, we subtract 215 from both sides:
450 - 215 = ?
Therefore, the missing exponent in the equation is ? = 235.
To find the missing exponent, we can use the quotient rule of exponents. According to the rule, when dividing two terms with the same base, you subtract the exponents.
In this case, the equation is:
h^450 / h^? = h^215
To find the missing exponent, we need to set up an equation using the quotient rule of exponents. Since the bases are the same (h), we can subtract the exponents on the left side of the equation.
450 - ? = 215
To isolate the missing exponent (?), we can rearrange the equation:
? = 450 - 215 = 235
Therefore, the missing exponent is 235.