Question 716978
{{{(a^4)^x = a}}}
The exponent rule for powers of a power is to multiply the exponents:
{{{a^(4x) = a}}}
The equation now says that one power of a, {{{a^(4x)}}}, is equal to another power of a, {{{a^1}}}. The only way this can be true is if the exponents themselves are equal. So:
4x = 1
Now we just divide by 4:
x = 1/4