Simplify the following and leave your answer in exponential form
3^14/3^-7
To simplify the expression 3^14/3^-7, we can apply the rule of exponents that states:
a^m / a^n = a^(m - n)
Therefore, in this case, 3^14 / 3^-7 can be simplified as follows:
3^14 / 3^-7 = 3^(14 - (-7))
= 3^21
So the simplified expression in exponential form is 3^21.
To simplify the expression (3^14) / (3^-7), we can use the following rule of exponents:
a^m / a^n = a^(m - n)
So, in this case, we have:
3^14 / 3^-7 = 3^(14 - (-7))
Simplifying further:
3^(14 - (-7)) = 3^(14 + 7)
Calculating:
3^(14 + 7) = 3^21
Therefore, the simplified expression in exponential form is 3^21.
To simplify the expression 3^14 / 3^-7 and express it in exponential form, you can use the rule of subtracting exponents when dividing powers with the same base.
The rule states: a^m / a^n = a^(m - n)
Applying this rule to the given expression:
3^14 / 3^-7 = 3^(14 - (-7))
= 3^(14 + 7)
= 3^21
Therefore, the simplified expression in exponential form is 3^21.