The first step for solving this expression is to divide both sides of the equation by 5².
-(6 - 2)z = -10 × [tex]( \frac{10}{5}) [/tex]²
Subtract the numbers in the first parenthesis.
-4z = -10 × [tex]( \frac{10}{5}) [/tex]²
Now,, to raise a fraction to a power,, you must raise the numerator and denominator to that power. This will look like the following:
-4z = -10 × [tex] \frac{ 10^{2} }{ 5^{2} } [/tex]
Reduce the fraction with 5².
-4z = -10 × 2²
Evaluate the power.
-4z = -10 × 4
Multiply the numbers on the right side of the equation.
-4z = -40
Lastly,, divide both sides of the equation by -4 to get your final answer.
z = 10
Let me know if you have any further questions.
:)
