Question

fill in the blank 1 point
$7^3 - 16^9 = $
answer

Explanation:

Step1: Calculate positive exponent term

$7^3 = 7 \times 7 \times 7 = 343$

Step2: Rewrite negative exponent term

$16^{-9} = \frac{1}{16^9}$

Step3: Multiply the two results

$343 \times \frac{1}{16^9} = \frac{343}{16^9}$

Step4: Compute denominator value

$16^9 = (2^4)^9 = 2^{36} = 68719476736$

Step5: Simplify the fraction

$\frac{343}{68719476736}$

Answer:

$\frac{343}{68719476736}$ (or $\frac{7^3}{16^9}$)