how do you find the missing exponent in this equation h^450/h^x=h^215
To find the missing exponent in the equation h^450/h^x = h^215, you can use the exponent rule for dividing powers with the same base. According to the rule, when dividing powers with the same base, you subtract the exponents.
So in this case, the equation becomes h^(450 - x) = h^215.
Since the bases are the same (h), the exponents must also be equal. Therefore, you can set the exponents equal to each other:
450 - x = 215.
To find the missing exponent (x), you solve the equation:
450 - x = 215
x = 450 - 215
x = 235.
Therefore, the missing exponent in the equation is x = 235.
To find the missing exponent in the equation h^450/h^x = h^215, you can use the rules of exponentiation to compare the exponents on both sides of the equation.
First, let's simplify the left side of the equation using the rule that states dividing two powers of the same base is equivalent to subtracting their exponents.
h^450/h^x = h^(450 - x)
Now, our equation becomes h^(450 - x) = h^215.
To solve for x, we need to set the exponents on both sides of the equation equal to each other, since the bases are the same.
450 - x = 215
Now, let's solve this equation for x.
To isolate x, we can subtract 215 from both sides:
450 - x - 215 = 215 - 215
Simplifying further:
235 - x = 0
Next, let's isolate x by subtracting 235 from both sides:
235 - x - 235 = 0 - 235
Simplifying further:
-x = -235
Finally, to solve for x, we can multiply both sides of the equation by -1:
(-1) * (-x) = (-1) * (-235)
Simplifying further:
x = 235
Therefore, the missing exponent x in the equation h^450/h^x = h^215 is 235.
To find the missing exponent in the equation h^450/h^x = h^215, we can use the properties of exponents.
When you divide two numbers with the same base, you subtract the exponents. In this case, the left side of the equation can be rewritten as h^(450 - x).
Since the equation states that this is equal to h^215, we can set up the equation:
h^(450 - x) = h^215
To solve for x, we need to set the exponents equal to each other:
450 - x = 215
To isolate x, we can subtract 215 from both sides:
450 - x - 215 = 0
By simplifying the equation, we get:
235 - x = 0
To solve for x, we can isolate it by subtracting 235 from both sides:
- x = -235
Finally, multiplying both sides by -1 to solve for x:
x = 235
Therefore, the missing exponent in the equation h^450/h^x = h^215 is x = 235.