Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite using a single positive exponent. \\(\\frac{6^7}{6^5}\\)

Question

rewrite using a single positive exponent. \\(\frac{6^7}{6^5}\\)

Explanation:

Step1: Apply exponent quotient rule

For same bases, $\frac{a^m}{a^n}=a^{m-n}$
So $\frac{6^7}{6^5}=6^{7-5}$

Step2: Subtract the exponents

$7-5=2$, so $6^{7-5}=6^2$

Answer:

$6^2$