Question

find the value of a in 6 go to the power A divided by 6 go to the power 4 is equal to 6 to the power 7​

Answer 1

Answer:

a=11

Step-by-step explanation:

6^a / 6^4 =6^7 (a^m /a^n = a^m-n)

Then

a=7+4

=11

Answer 2

The value of a is 11.

Step-by-step explanation:

The expression is:

$\frac{6^{a}}{6^{4}}=6^{7}$

Exponents rule:

• $a^{m}\div a^{n}=a^{m-n}$
• $a^{m}=a^{n}\Rightarrow m=n$

Use these rules to compute the value of a as follows:

   $\frac{6^{a}}{6^{4}}=6^{7}$

$6^{a-4}=6^{7}$

$a-4=7$

     $a=7+4$

     $a=11$

Thus, the value of a is 11.