Question

A X/a2.=a4 , find the missing exponent (x)

Answer 1

`(a^x)/(a^2)=a^4`

Remember

when you have a division of two number with exponents,let the base and subtract the exponents

`(a^m)/(a^n)=a^(m-n)`

Step 1

`\begin{gathered} (a^x)/(a^2)=a^4 \\ it\text{ is} \\ (a^x)/(a^2)=a^(x-2)=a^4 \end{gathered}`

then

`x-2=4`

Step 2

solve for x

`\begin{gathered} x-2=4 \\ \text{add 2 in both sides} \\ x-2+2=4+2 \\ x=6 \end{gathered}`

therefore, the missing exponent is 6