What's 2⁴x5²x7⁴

Mathematics

ScanSolve AI Answer

Answer

960400\mathbf{960400}

Step-by-step solution

3 steps

Here are the steps to calculate the value of the expression:

  1. Calculate the value of each power.

    24=2×2×2×2=162^4 = 2 \times 2 \times 2 \times 2 = 16 52=5×5=255^2 = 5 \times 5 = 25 74=7×7×7×7=49×49=24017^4 = 7 \times 7 \times 7 \times 7 = 49 \times 49 = 2401
  2. Multiply the calculated values together.

    16×25×240116 \times 25 \times 2401
  3. Perform the multiplication.

    (16×25)×2401=400×2401(16 \times 25) \times 2401 = 400 \times 2401 400×2401=960400400 \times 2401 = 960400

    The value of 24×52×742^4 \times 5^2 \times 7^4 is 960400\boxed{\mathbf{960400}}.

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