Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite using a single positive exponent. \\(\\frac{6^8}{6}\\)

Question

rewrite using a single positive exponent.
\\(\frac{6^8}{6}\\)

Explanation:

Step1: Recall exponent rule

When dividing exponents with the same base, use \( \frac{a^m}{a^n}=a^{m - n} \). Here, base \( a = 6 \), \( m = 8 \), \( n = 1 \) (since \( 6 = 6^1 \)).

Step2: Apply the rule

Substitute into the formula: \( \frac{6^8}{6^1}=6^{8 - 1} \).

Step3: Simplify the exponent

Calculate \( 8 - 1 = 7 \), so the expression becomes \( 6^7 \).

Answer:

\( 6^7 \)