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(5^7+5^9)x(6^8+6^10)x(2^4-4^2)

less than a minute read Jun 16, 2024
(5^7+5^9)x(6^8+6^10)x(2^4-4^2)

Simplifying a Mathematical Expression

Let's analyze and simplify the following mathematical expression:

(5^7 + 5^9) x (6^8 + 6^10) x (2^4 - 4^2)

We can simplify this expression by applying the following steps:

1. Simplifying Individual Components:

  • 5^7 + 5^9:
    • Find the values: 5^7 = 78125 and 5^9 = 1953125
    • Add them: 78125 + 1953125 = 2031250
  • 6^8 + 6^10:
    • Find the values: 6^8 = 1679616 and 6^10 = 60466176
    • Add them: 1679616 + 60466176 = 62145792
  • 2^4 - 4^2:
    • Find the values: 2^4 = 16 and 4^2 = 16
    • Subtract them: 16 - 16 = 0

2. Multiplying the Simplified Components:

  • We now have: 2031250 x 62145792 x 0
  • Any number multiplied by 0 is always 0.

Final Result:

Therefore, the simplified value of the expression (5^7 + 5^9) x (6^8 + 6^10) x (2^4 - 4^2) is 0.

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