What is the missing exponent in the following equation? h^450/h^? = h^215
(1 point)
The missing exponent in the equation is 235.
What is the missing number in this simplified exponential expression: 7^? ÷ 7^5 = 7^12? (1 point)
The missing number in the simplified exponential expression is 17.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^-17/8^-14 with positive exponents
only. (1 point)
To apply the Property of Negative Integer Exponents, we can rewrite the expression as follows:
3^-17/8^-14 = (1/3^17)/(1/8^14)
To simplify this expression and eliminate the negative exponents, we can use the property of dividing fractions, which is equivalent to multiplying by the reciprocal:
(1/3^17)/(1/8^14) = (1/3^17) * (8^14/1)
Now, we can multiply the numerators and denominators separately:
(1 * 8^14) / (3^17 * 1)
This simplifies to:
8^14 / 3^17
Therefore, the expression equivalent to 3^-17/8^-14 with positive exponents only is 8^14 / 3^17.
To find the missing exponent in the equation \(h^{450} / h^{?} = h^{215}\), we can use the properties of exponents.
When we divide two exponential terms with the same base, we subtract the exponents. So, \(\frac{h^{450}}{h^{?}} = h^{450 - ?}\).
Since the equation is equal to \(h^{215}\), we can set up the following equation:
\(450 - ? = 215\).
To solve for the missing exponent, we subtract 215 from both sides of the equation:
\(450 - 215 = -?\).
Simplifying:
\(235 = -?\).
This shows that the missing exponent is -235.
To find the missing exponent in the equation h^450/h^? = h^215, we can use the rules of exponents.
First, we need to understand that when dividing exponents with the same base, we subtract the exponents. So, h^450/h^? can be written as h^(450 - ?).
Now we can set up an equation based on the given equation: h^(450 - ?) = h^215.
Since the bases are the same (h), we can set the exponents equal to each other:
450 - ? = 215.
To find the missing exponent, we need to isolate the "?." We can move the 450 to the other side of the equation by subtracting it from both sides:
-? = 215 - 450.
Simplifying gives:
-? = -235.
Finally, we can solve for "?" by multiplying both sides of the equation by -1:
? = -(-235),
which simplifies to:
? = 235.
Therefore, the missing exponent in the equation h^450/h^? = h^215 is 235.