Simplify (1/8)^x+(1/8)^(x-2)

${(\frac{1}{8})}^{x} + {(\frac{1}{8})}^{x - 2}$

Step 1

Apply the product rule to $\frac{1}{8}$ .

$\frac{1^{x}}{8^{x}} + {(\frac{1}{8})}^{x - 2}$

Step 2

One to any power is one.

$\frac{1}{8^{x}} + {(\frac{1}{8})}^{x - 2}$

Step 3

Apply the product rule to $\frac{1}{8}$ .

$\frac{1}{8^{x}} + \frac{1^{x - 2}}{8^{x - 2}}$

Step 4

One to any power is one.

$\frac{1}{8^{x}} + \frac{1}{8^{x - 2}}$

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