Question

tell whether each equation is true or false.
equation | true or false?
$(5^6)^4 = 5^{10}$ | false
$3^5 \cdot 3^6 = 3^{11}$ | true
$\frac{6^{12}}{6^5} = 6^7$ | ?
| true
| false

Explanation:

Step1: Apply exponent division rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $\frac{a^m}{a^n}=a^{m-n}$

Step2: Calculate the exponent

$12 - 5 = 7$, so $\frac{6^{12}}{6^5}=6^{12-5}=6^7$

Answer:

True