Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question simplify to a single power of 6: $\frac{6^{7}}{6^{3}}$ answer …

Question

question
simplify to a single power of 6:
$\frac{6^{7}}{6^{3}}$
answer
answer: $6^{square}$

Explanation:

Step1: Apply exponent - division rule

According to the rule $\frac{a^m}{a^n}=a^{m - n}$, where $a = 6$, $m = 7$ and $n = 3$. So, $\frac{6^7}{6^3}=6^{7 - 3}$.

Step2: Calculate the exponent value

$7-3 = 4$, so $6^{7 - 3}=6^4$.

Answer:

$6^4$