Question 1

Use the like bases property to solve the equation $10^{n}=10000$
\[
n=
\]
Question Help:
Video

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $n=\boxed{4}$

Steps

Step 1 ：The base of the number on the right side of the equation is 10, and the base of the number on the left side of the equation is also 10. Therefore, we can use the property of exponents that says if $a^m = a^n$, then $m = n$.

Step 2 ：In this case, we need to express 10000 as 10 to some power, and then we can equate that power to n.

Step 3 ：10000 can be expressed as $10^4$, so we can rewrite the equation as $10^n = 10^4$. Therefore, $n$ should be equal to 4.

Step 4 ：The solution to the equation $10^{n}=10000$ is $n=4$.

Step 5 ：Final Answer: $n=\boxed{4}$

Question 1 Use the like bases property to solve the equation $10^{n}=10000$\[n=\]Question Help:Video

Answer

Popular Problems

Question 1

Use the like bases property to solve the equation $10^{n}=10000$
\[
n=
\]
Question Help:
Video