Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify $6^{5} \\times 6^{-4}$.a $6^{-20}$b $\frac{1}{6^{9}}$c $6$d $\…

Question

simplify $6^{5} \times 6^{-4}$.a $6^{-20}$b $\frac{1}{6^{9}}$c $6$d $\frac{1}{6^{5}}$

Explanation:

Step1: Apply exponent product rule

For same base $a^m \times a^n = a^{m+n}$, so $6^5 \times 6^{-4} = 6^{5 + (-4)}$

Step2: Simplify the exponent

$6^{5 - 4} = 6^{1}$

Step3: Evaluate the result

$6^1 = 6$

Answer:

C. 6