Simplify the following and leave your answer in exponential form
x^15/x^-9
To simplify the expression, we can use the quotient rule of exponents, which states that when dividing with the same base, we subtract the exponents.
Using this rule, the expression x^15/x^-9 can be simplified as:
x^15/x^-9 = x^(15 - (-9))
= x^(15 + 9)
= x^24
Therefore, the simplified expression in exponential form is x^24.
To simplify the expression (x^15)/(x^-9) and write it in exponential form, we can use the rule of subtracting exponents when dividing like bases.
When dividing like bases, you subtract the exponent of the denominator from the exponent of the numerator.
So,
(x^15)/(x^-9) = x^(15-(-9))
Simplifying the exponent, we get:
(x^15)/(x^-9) = x^24
Therefore, the simplified expression in exponential form is x^24.
To simplify the expression (x^15)/(x^-9) and express the answer in exponential form, you can use the quotient rule of exponents.
The quotient rule states that when dividing two terms with the same base, subtract the exponents:
x^m / x^n = x^(m - n)
Applying this rule to the given expression, we have:
x^15 / x^-9 = x^(15 - (-9))
To simplify the exponent expression, we subtract the exponents:
x^(15 - (-9)) = x^(15 + 9) = x^24
Therefore, the simplified expression in exponential form is x^24.