Simplify the following and leave your answer in exponential form. (Example: write 525^25
2
not 252525 ). Click Here for Help Video
9149−5\frac{9^{14}}{9^{-5}}
9
−5
9
14
To simplify the given expression, we can use the property of exponents which states that when dividing two powers with the same base, we subtract their exponents.
In this case, we have 9 raised to the power of 14 divided by 9 raised to the power of -5.
Using the exponent property, we subtract the exponents: 9^14 / 9^-5 = 9^(14 - (-5)) = 9^19.
Therefore, the simplified expression is 9^19.
Find the missing value for
�?�5=�13\frac{x^?}{x^{5}}=x^{13}
x
5
x
?
=x
13
Click Here for Help Video
? =?\ =? =
To find the missing value in the equation, we can apply the exponent rule which states that when dividing two powers with the same base, we subtract their exponents. In this case, we have:
(x^?) / (x^5) = x^13
Using the exponent rule, we can subtract the exponents: x^(? - 5) = x^13.
For the two sides of the equation to be equal, the exponents must be equal as well.
Therefore, we have the equation: ? - 5 = 13.
To find the value of ?, we can solve for it by adding 5 to both sides of the equation:
? - 5 + 5 = 13 + 5
? = 18.
Thus, the missing value in the equation is ? = 18.
To simplify the expression (9149^14)/(9^-5) and write the answer in exponential form, we can use the rule of exponents that states (a^m)/(a^n) = a^(m-n).
In this case, we have 9149^14 divided by 9^-5. Applying the rule, we get:
9149^14 * 9^5
Now, we can multiply the numbers together:
9149^14 * 9^5 = (9149 * 9)^14
Finally, we write the answer in exponential form:
(9149 * 9)^14 = 82441^14