Question 373650
{{{(-6x^-5)^-2}}}
First we will simplify. Then we will deal with negative exponents, if any are left.<br>
To simplify this we will be using the rule: {{{(a*b)^q = a^q*b^q}}}:
{{{(-6)^(-2)(x^(-5))^(-2)}}}
For {{{(x^(-5))^(-2)}}} we will use the rule: {{{(a^p)^q = a^(p*q)}}}:
{{{(-6)^(-2)x^((-5)*(-2))}}}
which simplifies to:
{{{(-6)^(-2)*x^10}}}
Now we will eliminate the negative exponent on the -6. For this we will use the rule: {{{a^(-q) = 1/a^q}}}. This gives us:
{{{(1/(-6)^2)*x^10}}}
Since {{{(-6)^2 = 36}}} this becomes:
{{{(1/36)*x^10}}}
which simplifies to:
{{{x^10/36}}}
This is the simplified expression with positive exponents.