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(20x2^4+12x2^4-48 X 2^2) 8^2

less than a minute read Jun 16, 2024
(20x2^4+12x2^4-48 X 2^2) 8^2

Simplifying the Expression (20x2^4+12x2^4-48 x 2^2) 8^2

This expression can be simplified by following the order of operations (PEMDAS/BODMAS) and using the properties of exponents. Here's a breakdown of the steps:

1. Simplify the exponents:

  • 2^4 = 2 x 2 x 2 x 2 = 16
  • 2^2 = 2 x 2 = 4
  • 8^2 = 8 x 8 = 64

2. Substitute the simplified exponents back into the expression:

(20 x 16 + 12 x 16 - 48 x 4) 64

3. Perform the multiplication inside the parentheses:

(320 + 192 - 192) 64

4. Combine the terms inside the parentheses:

(320) 64

5. Perform the final multiplication:

320 x 64 = 20480

Therefore, the simplified form of the expression (20x2^4+12x2^4-48 x 2^2) 8^2 is 20480.

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