Simplify (1/7)^(x-2)-(1/7)^x

${(\frac{1}{7})}^{x - 2} - {(\frac{1}{7})}^{x}$

Step 1

Apply the product rule to $\frac{1}{7}$ .

$\frac{1^{x - 2}}{7^{x - 2}} - {(\frac{1}{7})}^{x}$

Step 2

One to any power is one.

$\frac{1}{7^{x - 2}} - {(\frac{1}{7})}^{x}$

Step 3

Apply the product rule to $\frac{1}{7}$ .

$\frac{1}{7^{x - 2}} - \frac{1^{x}}{7^{x}}$

Step 4

One to any power is one.

$\frac{1}{7^{x - 2}} - \frac{1}{7^{x}}$