Question

What value of n makes the equation true? Show your work.

Answer 1

Answer:

n=13

Step-by-step explanation:

When multiplying two numbers with the same base, add the exponents

$8^{9} *8^{4} =8^{13}$

When dividing two numbers with the same base, subtract the exponents$\frac{(8^{n})^{3}}{8^{2} } =(8^{n})^{3-2}=(8^{n})^{1}=8^{n}$

So

$8^{13} =8^{n}$

The bases are the same, so you can cancel them

13=n

n=13